To perform regression on this longitudinal data, where air pollution readings and traffic flow data are collected at regular intervals over time, we would use time series regression.
The link between a dependent variable (in this case, air pollution readings) and one or more independent variables (in this case, traffic flow) that are measured over time is examined using the statistical technique known as time series regression.
It is assumed that the dependent variable and the independent variable have a linear relationship in time series regression, a form of linear regression (s). It also takes into account the data's temporal character, where each observation depends on earlier observations.
In time series regression, a time series model is used to take the temporal component of the data into account. There are various kinds of time series models, such as the popular technique for time series regression known as ARIMA (autoregressive integrated moving average). ARIMA models forecast the future using the dependent variable's previous values.
Learn more about regression here:
https://brainly.com/question/14548066
#SPJ4
an oil storage tank can be described as the volume generated by revolving the area bounded by about the x-axis. find the volume of the tank (in cubic meters). round to four decimal places.
The volume of the tank can be found using the given information as:[tex]Volume=\int\limits^b_a {\pi f(x)^2} \, dx[/tex]
How to find the volume of the tank?Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:
[tex]Volume=\int\limits^b_a {\pi f(x)^2} \, dx[/tex]
where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.
Therefore, the volume of the tank can be found using the given information as:
[tex]Volume=\int\limits^b_a {\pi f(x)^2} \, dx[/tex]
We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.
To know more about Volume visit:
brainly.com/question/12237641
#SPJ1
Find the percentile rank for Susan who is 5th in a class of 58 students
From the given information provided, Susan's percentile rank in class is approximately 6.9%.
To find the percentile rank for Susan who is 5th in a class of 58 students, we need to use the following formula:
Percentile rank = (Number of students below Susan / Total number of students) x 100
Since Susan is the 5th student in the class, there are 4 students with higher ranks than her. Therefore, the number of students below Susan is 4.
Using the formula, we can calculate the percentile rank as:
Percentile rank = (4 / 58) x 100
Percentile rank = 6.9 (rounded to one decimal place)
Learn more about percentile here: brainly.com/question/28395856
#SPJ4
write the integral as the sum of the integral of an odd function and the integral of an even function.
We can write the integral of f(x) as the sum of the integral of the even component, e(x), and the integral of the odd component, o(x). This gives us the following equation: ∫f(x)dx = ∫e(x)dx + ∫o(x)dx
Integrals can be written as the sum of the integral of an odd function and the integral of an even function. This is because any function can be broken down into its even and odd components. Even functions are those that remain unchanged when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the same as the result for its negative. Odd functions are those that change sign when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the negative of the result for its negative.
The integral of an even function is the same regardless of whether it is written as the sum of the integral of an odd function and the integral of an even function, or if it is written just as an integral of the even function. The integral of an odd function is the negative of the integral of the even function when written as the sum of the two integrals.
To know more about functions click here:
https://brainly.com/question/29769447
#SPJ11
The bonus question asks for the application of the integral test to determine the convergence of the series given by 2n*e^(-a).
The integral test is a method used to determine the convergence or divergence of a series by comparing it to the integral of a related function. In this case, we are given the series 2n*e^(-a), and we can use the integral test because the terms of the series involve the variable 'n', and the function e^(-a) can be integrated.
To apply the integral test, we consider the integral of the function corresponding to the series. In this case, we integrate the function f(x) = 2x*e^(-a) from 1 to infinity. If this integral converges, then the series is also convergent. Conversely, if the integral diverges, then the series is divergent.
By evaluating the integral of f(x) and analyzing its convergence or divergence, we can determine whether the given series 2n*e^(-a) converges or diverges. Showing all the steps in evaluating the integral and discussing the convergence properties of the resulting integral will be necessary to receive full credit for this question.
Learn more about integral:
https://brainly.com/question/31109342
#SPJ11
You have a trust that when mature will be $250,000 that you will receive when you are 50 years old. You are 25 years old now. If the trust is growing at 8% per year what is the value of the trust now?
The present value of the trust which grows at the rate of interest 8% for 25 years is equal to $ 36504.477
The future value of the trust is equal to $250,000
Interest rate is equal to 8% per year
To calculate present value of the trust use the formula,
Present Value = Future Value / (1 + r)^n
r is the annual interest rate
n is the number of years.
Let us consider PV represents the present value of the trust.
Present age = 25 years
Maturity age of the trust = 50 years
Number of years used amount to mature is equal to,
= 50 - 25
= 25 years
Substitute the values into the present value formula we have,
PV = 250,000 / (1 + 0.08)^25
Simplify it we get,
⇒ PV = 250,000 / 6.848475
⇒ PV = 36504.477
Therefore, the present value of the trust mature for 25 years is equal to approximately $36504.477.
Learn more about values here
brainly.com/question/28580314
#SPJ4
A straw is placed inside a rectangular box that is 1 inches by 1 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
The length of the straw, which fits exactly along this diagonal, is also [tex]\sqrt{11}[/tex] inches.
What is Pythagorean theorem?
The Pythagorean theorem is a fundamental concept in mathematics that describes the relationship between the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The problem states that the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner. We can visualize this diagonal as a line that runs through the center of the box, from one corner to the opposite corner.
To find the length of this diagonal, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse).
In this case, the bottom and back sides of the box form the legs of a right triangle, and the diagonal of the box forms the hypotenuse. So we can apply the Pythagorean theorem as follows:
Diagonal = [tex]\sqrt{bottom^2 + back ^2 + height ^2 }[/tex]
Therefore, the length of the straw, which fits exactly along this diagonal, is also [tex]\sqrt{11}[/tex] inches.
To learn more about Pythagorean theorem from given link.
https://brainly.com/question/14930619
#SPJ1
the likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is
The likelihood that the decision made based on the sample differs from the decision that would have been made if the entire population had been examined is called sampling risk.
What is Sampling error?Sampling error refers to the disparity between a sample's characteristics and those of the population from which it was drawn. It arises from using a sample rather than the whole population to estimate statistics such as mean, variance, and proportions.
Since a sample only represents a portion of the population, it cannot be expected to have the same characteristics as the whole population. The study of sampling error is an essential part of statistical analysis, as it is a source of uncertainty in making inferences about the population from a sample.
To reduce the sampling error in your survey, you can utilize a larger sample size. It is also beneficial to ensure that the sample is chosen randomly and without bias.
To know more about sampling risk refer here:
https://brainly.com/question/31131186#
#SPJ11
I Really want this pleaseeeeeeeeeeeeeeeeeee
Answer:no
Step-by-step explanation:
using the Pythagorean theorem:
a^2+b^2=c^2
42^2+26^2=50^2
1764+676=2500
2440=2500
2440<2500
So the answer is no
Boris paid for dinner and added $8 tip (which is 20% of the total). What was the total before the tip.
HELPP PLSSSSS NOW!!!!!!
Some of the dimensions of a house are shown below.
Calculate the length u.
Give your answer in metres to 2 d.p.
56°
1.65 m
u
43°
Not drawn accurately
Using trigonometric relations we can see that u = 4.28m
How to find the length of u?First we can find the length of the shared side using the trigonometric relation:
tan(56°) = x/1.65m
1.65m*tan(56°) = x
2.45m = x
Then the length of the bottom side of the right triangle in the right side is iven by:
tan(43°) = 2.45m/y
Solving for y:
y = 2.45m/tan(43°)
y = 2.63m
Then the length of u is:
u = 1.65m + 2.63m = 4.28m
Learn more about right triangles at:
https://brainly.com/question/2217700
#SPJ1
what is 7x=14 show your work
Answer:
x=2
Step-by-step explanation:
7x=14
divide by 7 on each side to get x by itself
x=14/7
x=2
After how many weeks do you think it would be unreasonable to continue counting
individual mosquitoes? And finally, at the end of the 13-week mosquito season, how
many mosquitoes would you expect to be in the trap? Use complete sentences to
explain both of your answers below.
(Table if needed)
Week | Mosquitos
0 | 8
1 | 12
2 | 18
3 | 27
We can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.
How to determine how many mosquitoes would you expect to be in the trapBased on the given data, we can observe that the number of mosquitoes is increasing over time, and the increase is not constant. So, it would be unreasonable to continue counting individual mosquitoes after a certain point.
To estimate the number of mosquitoes at the end of the 13-week mosquito season, we can assume that the rate of increase remains constant over time. Using this assumption, we can find the average increase in mosquitoes per week, which is the difference between the number of mosquitoes in the last week and the number in the first week, divided by the number of weeks:
Average increase = (27 - 8) / 3 = 6.33
Then, we can use this average increase to estimate the number of mosquitoes in the 13th week:
Number of mosquitoes in the 13th week = 27 + 6.33 × 10 = 90.3
Since we cannot have a fraction of a mosquito, we can round this estimate to the nearest whole number.
Therefore, we can expect approximately 90 mosquitoes in the trap at the end of the 13-week mosquito season.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ1
[tex] \frac{cos9 + \sin9 }{cos9 - sin9} = tan54[/tex]
Prove the above question
To Prove :
[tex] \sf \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} = \tan54\degree \\ \\ [/tex]
[tex] \sf LHS = \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} \\ \\ [/tex]
[tex] \sf RHS = \tan54\degree \\ \\ [/tex]
Solving for LHS :
Divide numerator and denominator by cos9°
[tex]\longrightarrow \: \: \sf\dfrac { \dfrac{ \cos9\degree}{ \cos9\degree} + { \dfrac{\sin9}{ \cos9} }}{ \dfrac{ \cos9\degree }{ \cos9\degree} - { \dfrac{ \sin9\degree}{ \cos9\degree}}} \\ \\ [/tex]
[tex] \longrightarrow \: \: \sf\dfrac{1 + { \dfrac {\sin9\degree}{ \cos9\degree}} }{1 - { \dfrac{ \sin9\degree}{ \cos9\degree} }} \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf \dfrac{1 + \tan9\degree}{1 - \tan9\degree} \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf{ \dfrac{ \tan45 \degree + \tan9\degree}{1 - \tan45 \degree \tan9 \degree}} \: \: \: \: \: \: \: \sf \red{\bigg( \tan(A + B) = \dfrac{ \tan A + \tan B}{1 - \tan A \tan B} \bigg)} \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf \tan(45\degree + 9\degree) \\ \\ [/tex]
[tex]\longrightarrow \: \: \sf \tan54 \degree[/tex]
LHS = RHS
Hence, proved!!each page number of a 488-page book is printed one time in the book. the first page is page 1 and the last page is page 488. when printing all of the page numbers, how many more 4's are printed than 8's?
the number of more 4's printed than 8's is 188 - 59 = 129.
We can approach this problem by counting the number of times the digit 4 appears and the number of times the digit 8 appears in the page numbers from 1 to 488.
First, let's count the number of times the digit 4 appears. We can break down the counting into three cases:
The digit 4 appears in the units place (page numbers 4, 14, 24, ..., 484): there are 49 such page numbers (from 4 to 484, incrementing by 10).
The digit 4 appears in the tens place (page numbers 40 to 49, 140 to 149, ..., 440 to 449): there are 50 such page numbers.
The digit 4 appears in the hundreds place (page numbers 400 to 488): there are 89 such page numbers.
Thus, the total number of times the digit 4 appears is 49 + 50 + 89 = 188.
Next, let's count the number of times the digit 8 appears. We can break down the counting into two cases:
The digit 8 appears in the tens place (page numbers 80 to 89, 180 to 189, ..., 480 to 489): there are 50 such page numbers.
The digit 8 appears in the hundreds place (page numbers 800 to 880): there are 9 such page numbers.
Thus, the total number of times the digit 8 appears is 50 + 9 = 59.
Therefore, the number of more 4's printed than 8's is 188 - 59 = 129.
learn more about number here
https://brainly.com/question/10547079
#SPJ4
A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
Blue
Green
Yellow
Purple
14
6
12
4
16
Based on these results, express the probability that the next spin will land on purple
as a fraction in simplest form.
Answer:
4/13
Step-by-step explanation:
total = 14 + 6 + 12 + 4 + 16 = 52
purple = 16
p(purple) = 16/52 = 4/13
Oliver ask 20 children's how they travel to school you are other reasonOliver ask 20 children's how they travel to school here are the reason walkOliver ask 20 children's how they travel to school here are the reason what three bicycle 2 calculate the percentage of the children who travel to school by bicycle
From the given information provided, the percentage of children who travel by bicycle is 15%.
According to the given information, out of 20 children, 3 of them travel to school by bicycle. To calculate the percentage of children who travel to school by bicycle, we need to divide the number of children who travel by bicycle by the total number of children and multiply by 100.
Percentage of children who travel to school by bicycle = (Number of children who travel by bicycle / Total number of children) x 100%
= (3/20) x 100%
= 15%
Therefore, the percentage of children who travel to school by bicycle is 15%.
Learn more about percentage here: brainly.com/question/24877689
#SPJ4
Suppose you are going to roll a 10-sided die 50 times and record p, the proportion of times that the roll is 3 orlower. Which of the following describes the sampling distribution of p?A. Mean = 15; Standard deviation = 0.0648; non-Normal.B. Mean = 15; Standard deviation = 3.24; approximately NormalC. Mean = 0.3; Standard deviation = 3.24; approximately NormalD. Mean = 0.3; Standard deviation = 0.0648; non-NormalE. Mean = 0.3; Standard deviation = 0.0648; approximately Normal
approximately Normal.
In the given problem, suppose you are going to roll a 10-sided die 50 times and record p, the proportion of times that the roll is 3 or lower. The question is asking us to determine the sampling distribution of p.The mean of p is given by: [tex]μp = 50 × 0.3 = 15[/tex]And
the standard deviation of p is given by: σp = sqrt[tex](50 × 0.3 × 0.7) = 3.24[/tex]
Therefore, the correct option is: Mean = 0.3; Standard deviation = 3.24;
for such more questions on approximately Normal
https://brainly.com/question/26257968
#SPJ11
13xy^2 - 12x^2y + 5x^2y simplify
In a sale, the normal price of a boat is reduced by 15%
The sale price of the boat is £272 000
Work out the normal price of the boat.
Answer:
£320 000
Step-by-step explanation:
Let x = original price of the boat.
When you reduce a price by 15%, what percent remains in the sale price?
100% - 15% = 85%
After reducing the price of the boat by 15%, the sale price is 85% of the original price.
85% of x = £272 000
0.85x = 272 000
Divide both sides by 0.85
x = 320 000
Answer: £320 000
find the next two terms 9.56,9.57,9.58,9,59
The next two terms in this arithmetic progression is 7.60 and 7.61.
What is arithmetic progression?An arithmetic prοgressiοn (AP) is a sequence where the differences between every twο cοnsecutive terms are the same. Fοr example, the sequence 2, 6, 10, 14, … is an arithmetic prοgressiοn (AP) because it fοllοws a pattern where each number is οbtained by adding 4 tο the previοus term. A real-life example οf an AP is the sequence fοrmed by the annual incοme οf an emplοyee whοse incοme increases by a fixed amοunt οf $5000 every year.
We know the Arithmetic progression formula:
[tex]\rm a_{n}=a_{1}+(n-1)d[/tex]
[tex]\rm a_n[/tex] = the nᵗʰ term in the sequence
[tex]\rm a_1[/tex] = the first term in the sequence
d = the common difference between terms
Here 4 terms are given
5th and 6th terms are to be found,
Thus,
a₁ = 9.56
d = (9.56 -9.57) = 0.01
n = 5
Then
5th term is :
aₙ = a₁ + (n - 1)d
aₙ = 9.56 + (5 - 1)0.01
aₙ = 9.56 + (4)0.01
aₙ = 9.56 + 0.04
aₙ = 7.60
6th term is :
aₙ = a₁ + (n - 1)d
aₙ = 9.56 + (6 - 1)0.01
aₙ = 9.56 + (6)0.01
aₙ = 9.56 + 0.05
aₙ = 7.61
Thus, The next two terms in this arithmetic progression is 7.60 and 7.61.
Learn more about arithmetic prοgressiοn
https://brainly.com/question/30364336
#SPJ1
An object's _____ are the tasks or functions that the object performs when it receives a command to do so.
a. roles
b. utilities
c. methods
d. instances
An object's methods are the tasks or functions that the object performs when it receives a command to do so.
What are the methods?The methods of an object describe what the object can perform. In object-oriented programming (OOP), objects are a key element of the language. Each object has a collection of methods that it can perform.
Methods are similar to functions or procedures in traditional programming. They're the code that the object executes in response to a command. Because objects have methods, programming in object-oriented programming (OOP) languages involves defining the object classes, which specify the methods and properties that each object in that class will have.
Roles:- Roles specify the various abilities that an object can perform. In object-oriented programming (OOP), these roles are often defined through interfaces, which specify the set of methods that an object must implement in order to fulfill the role. The role of an object is determined by the methods that it implements.
Utilities:- Utilities are typically unrelated to an object's role, but rather are commonly used functions that are available throughout a system or application. They often provide functionality that is required by many different objects in the system.
c. methods is the correct option.
To know more about the "object-oriented programming (OOP)": https://brainly.com/question/4560494
#SPJ11
Ava sells pottery at a market. Each piece of pottery costs $4.50 to make. Ava marks up the pottery by 250%. She then decides to have a sale of 30% off the retail price. What is the discounted price of each piece of pottery?
Thus, the discounted price on the retail price of each piece of pottery is found to be: Discounted price = $11.025.
Explain about the discounted price?The interest rate that is adjusted to the projected cash flows of either an investment to determine its present value is referred to as the discount rate. The expected rate of return on investment that businesses or investors anticipate. The viability of an investment can be determined by computing the net present value via discounting.
Cost price = $4.50
Percentage increase = 250%.
Marked price = 4.50 + 2.5*4.50
Marked price = $15.75
Discount = 30%
Discounted price = 15.75 - 0.30*15.75
Discounted price = $11.025
Thus, the discounted price on the retail price of each piece of pottery is found to be: Discounted price = $11.025.
Know more about the discounted price
https://brainly.com/question/23865811
#SPJ1
Helen flips a coin and rolls a dice calculate the probability of getting 4 and tails
Answer:
1/12 or 0.0833
Step-by-step explanation:
P(Coin) = 1/2
P(Dice) = 1/6
1/2 × 1/6 = 1/12
I need to know if there both parallel
Answer:
No
Step-by-step explanation:
No. So if the number next to the "x" we're the same, it would have been. But they are different (one is -3 and one is 1/3)
Franklin is an ecologist monitoring the catfish population in Athena Lake each year. When he first started monitoring the population one year ago, he estimated that there were 800 catfish in the lake. Today, Franklin estimates the population has decreased to 760 and it will continue decreasing each year.
The exponential model for the population of catfish in Athena Lake is:
P(t) = 800 × e^{-0.0513t}
What is exponential ?
an exponential function is a function of the form:
f(x) = a^{x}
where a is a positive constant called the base, and x is the exponent. The base represents the factor being repeatedly multiplied, while the exponent represents the number of times the base is being multiplied by itself.
To model the decreasing population of catfish in Athena Lake, we can use an exponential function of the form:
P(t) = P0 × e^{-rt}
where:
P(t) is the population at time t
P0 is the initial population
r is the annual growth rate (in this case, a negative value representing a decreasing population)
e is the mathematical constant e (approximately 2.71828...)
t is the time elapsed (measured in years)
In this case, we know that the initial population P0 is 800, and that the current population P(1) is 760 (since Franklin started monitoring one year ago and estimates the population has decreased to 760). So we can use these values to solve for the annual growth rate r:
760 = 800 × e^{-r}
Dividing both sides by 800, we get:
0.95 = e^{-r}
Taking the natural logarithm (ln) of both sides, we get:
ln(0.95) = -r
Solving for r, we get:
r ≈ 0.0513
So the exponential model for the population of catfish in Athena Lake is:
P(t) = 800 × e^{-0.0513t}
where t is the time elapsed (measured in years).
To learn more about exponential visit the link:
https://brainly.com/question/11975096
#SPJ9
housing costs: a government report on housing costs says that single-family home prices nationwide are skewed to the right, with a mean of $235,700. a. we collect price data from a random sample of 50 homes in orange county, california. why is it okay to use these data for inference even though the population is skewed?
It is fine to use these data because the price sample is random so bias will not interfere with the results.
Why is it okay to use this data?Based on the information, we can infer that it is correct to use the data from this sample because it is random, that is, it does not have a defined order. Therefore, it is not necessary to take bias into account because it will not have any influence on the results.
In accordance with the above, it would be incorrect to take the data from a non-random sample because information would be prioritizing and this would cause the results to be blinded.
Learn more about random sample in: https://brainly.com/question/29852583
#SPJ1
stemjock in each of problems 18 through 22, use the method of reduction of order to find a second solution of
Using the method of reduction of order, you can find a second solution to Problems 18-22.
In this method, we assume the second solution will have the same form as the first one, but with different constants of integration. To find the second solution, we substitute the first solution into the differential equation and solve for the remaining constant.
To illustrate, let's say Problem 18 is:
$$y''-2y'+y = 0$$
We start with a first solution of the form: $y_1=e^rx$.
Substituting this into the differential equation, we get:
$$r^2e^rx -2re^rx+e^rx=0$$
Rearranging and dividing by $e^rx$ yields:
$$r^2 -2r+1=0$$
Using the quadratic formula, we find two possible solutions for $r$:
$r=1$ and $r=-1$
Using these two values for $r$, we can write our two solutions as:
$y_1 = e^x$ and $y_2 = e^{-x}$
This same method can be applied to Problems 19-22 to find the second solution.
For more such questions on Reduction of order.
https://brainly.com/question/30872273#
#SPJ11
If f(x) = 3x + 2, find f(2).
a. 2
b. 5
c. 8
d. 9
e. 12
Answer:
C
Step-by-step explanation:
Since the number in the parenthesis is treated as "x", for f(2), replace "x" with 2. So the equation will be f(2) = 3(2) + 2. Then multiply. f(2) = 6 + 2. Lastly add them up. f(2) = 8. The answer is 8.
I will mark BRAINLYIST
Answer:
119% of 550
Step-by-step explanation:
add the percentages
6. complete the interpretation for the p-value: if delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of or any statistic (larger, smaller) is .
If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.
This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.
The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.
To learn more about sample statistic link is here
brainly.com/question/29490427
#SPJ4
The complete question is:
Complete the interpretation for the p-value:
If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .
right cone has a base with diameter 16 units.
me volume of the cone is 320 cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base?
Answer:
The length of the segment is 8 units.
We can use the formula for the volume of a cone to calculate the height of the cone:
V = (1/3)πr^2h
320 = (1/3)π(8^2)h
h = 320/(1/3)(π)(64)
h = 8 units