Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.

The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?

In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.

Answers

Answer 1

By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.

How many times do he need to use each cup?

The volume of the sink is 512π in^3.

The blue cup is a cylinder of diameter = 4 in and a height = 8 in, then its volume is:

V = π*(4in/2)^2*8in = 32π in^3

The number of times that he needs to use this cup is given by:

N = (512π in^3)/(32π in^3) = 512/32 = 16

He needs to use 16 times the blue cup.

The green cup has a diameter = 8in and a height = 8in, then its volume is:

V' =π*(8in/2)^2*8in = 128π in^3

The number of times that he must use this cup is:

N' = (512π in^3/ 128π in^3) = 512/128 = 4

He needs to use 4 times the green cup.

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490


Related Questions

One week a student exercised 3 hours at school and another of an hour at home. If of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week? Enter your answer in hours; do not include units in your answer.

Answers

Answer:

The student spent 48 minutes and 45 seconds playing basketball.

Select the correct answer.

Answers

Answer:

?????

Step-by-step explanation:

Consider the figure below: (DE and BC are parallel)

Answers

If DE and BC are parallel, their sides must be proportional.

2/x+1 = 5/4x-2
Use cross multiplication:
8x-4=5x+5
3x=9
x=3

Plug this in:
x: 3
AE: 3+1 = 4
CE: 4(3)-2 = 12-2 = 10
AB: 2 + 5 = 7
AC: AE+CE = 4 + 10 = 14

Simplify 15(10-4-2)
14
015/2
52-4110
O 105-4110

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{5} (10 - 4 \sqrt{2} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: ( \sqrt{5} \times 10) - ( \sqrt{5} \times 4\sqrt{2)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 10 \sqrt{5} - 4\sqrt{10} [/tex]

Hi
Can u please help
i will pick the best one

Answers

AB will be the better choice because of its axle

Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?

A. A square is both a rhombus and a parallelogram.
B. A pentagon has five sides but is not a parallelogram.
C. A rectangle is a parallelogram.
D. A rhombus is a parallelogram but is not a rectangle.

Answers

Answer:

D

Step-by-step explanation:

A doesn't work because a square is not a rhombus

B is out of context

C is true

D makes the most sense to the original question

What is 125x to the 3rd power +343y to the 3rd power

Answers

Answer: 125 to the power of 3 = 1253 = 1,953,125

Evaluate the expression when b=16 and c=9.

c? +3(6-c)?

Answers

Answer:

0

Step-by-step explanation:

Since B = 16  and C = 9 we can plug into the equation.

(9) + 3 (6 - 9)

Since order of operations we subtract 9 from 6

6 - 9 = -3

Now we do -3 x 3 = -9

Now add -9 to 9

-9 + 9 = 0

Answer:

Step-by-step explanation:

3(6 - 9)

3(-3)= -9

9 + (-9) = 0

Find the value of x.
122°
63

Answers

59 degrees
180-122=58
then you add the known angles inside the triangle
63+58=121
Then all triangle angles have a sum 180
180-121=59

In a search engine, 40 000 searches are done every
minute.
How many searches are done in an hour?
Write your answer in standard index form.

Answers

Answer:

The answer is 2.4 x 10^6

Step-by-step explanation:

You're going to multiply 40,000 by 60

40,000*60=2400000

Therefore the answer in standard index form will be 2.4 x 10^6

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

i need help with this

Answers

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

What is the area of rhombus ABCD? (Assume the diagonals of rhombus ABCD are equal).

Answers

Step-by-step explanation:

area of rhombus =1/2(d1×d2)

=1/2(4.25×4.25)

=1/2×18.0625

=9.03cm^2

André paid a $65 annual fee to register with a car rental company. The company charges $8.50 for each hour a car is rented. What is the rate of change of the function that represents André's cost for renting a car over the course of a year?
A. $8.50 per hour
B. $65 per year
C. $73.50 per hour
D. $73.50 per year

Answers

Answer:

I dont know if this is the right answer, but my best guess is that it is A.

Step-by-step explanation:

The rate of change of the function that represents André's cost for renting a car over the course of a year $8.50 per hour.

What is the rate of change?

The rate of change is the cost by which the cost of renting the car increases by. The cost of renting the car increases by $8.50 per hour.

The annual fee can be described as the fixed cost of renting the car per year.

To learn more about fixed cost, please check: https://brainly.com/question/25879561

Use the ratio table to solve the percent problem,
Part
Whole

? 75
40 100

What is 40% of 757
Enter your answer in the box

Answers

Answer:

302.8

Step-by-step explanation:

If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.

can someone please help!!
I need the answer and explanation pls

Answers

Step-by-step explanation:

percentage of green marbles=

(total green marbles÷ total marbles )×100

if 6 people share 990 grams of cookie but each leave behind 27 grams how much grams did each person eat

Answers

Answer: 276 grams.

Step-by-step explanation:

A triangle has sides with lengths of 12 kilometers, 12 kilometers, and 17 kilometers. Is it a right triangle?

Answers

Answer:

no it has to be the same length

Step-by-step explanation:

it has to be the same

given triangle, ABC is congruent to triangle EDC find A

Answers

Answer:

m<A = 30 degrees.

Step-by-step explanation:

m < C in triangle ABC = m < C in EDC so

x + 13 + 42 + x + 13 = 180

2x = 180 - 13 - 13 - 42

2x = 112

x = 56.

So m < C = 56+13 = 69.

m < B = m < D = 81

M < A = 180 - 69 - 81

= 180 - 150 = 30.

Write an equivalent expression.
- 2(8+79)
Choose the correct answer below.
OA. -2(8 + 7g) = - 16 + 7g
OB. – 2(8 + 7g) = 7g - 16
OC. – 2(8 + 7g) = - 2 - 14g
OD. -2(8 +79) = - 16 - 14g
-
-


Please help

Answers

Answer:

D

Step-by-step explanation:

You just have to expand and you'll get the answer.

( 2 x -6 ) +4 ( x - 3 )

Answers

(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}

Find the volume of a cone with a base radius of 4 ft and a height of 8 ft.
Write the exact volume in terms of , and be sure to include the correct unit in your answer.

Answers

Answer:

42.67π ft³

Step-by-step explanation:

Given

base radius = 4 feetheight = 8 feet

Formula

Volume of a cone = 1/3πr²h

Solving

V = 1/3 x π x (4)² x 8V = 128/3 x πV = 42.67π ft³


A cone has a base radius of 4.3 cm and perpendicular height of 8.4 cm.
It has the same volume as a sphere. Find the radius of the sphere.

Answers

Answer:

R=3.38627

Step-by-step explanation:

Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis of the histogram are too large. the interval on the y-axis of the histogram is too small. the interval on the x-axis of the histogram is inconsistent. the interval on the box-and-whisker plot is too small.

Answers

The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

What is histogram?

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.The frequency distribution in histogram for this data is inconsistent.This inconsistency brought the between the two graphs.

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

Learn more about the histogram here;

https://brainly.com/question/2962546

Find the measure of Zv.
V
D
48°
87°
E

Answers

Answer:

45°

Step-by-step explanation:

A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.

Hope this helps!

Answer:

45

Step-by-step explanation:

♤interior angles of a triangle add up to 180♤

let angle V= x

48+87+ x= 180

135+x=180

x=180-135

=45

Help!!!!!!!!!!!!!!!!!!!!!!! Pleaseeeeee

Answers

Answer:

C) 43.96

Step-by-step explanation:

1. Use the formula to find the circumference of a circle whic is C= πR

2. First multiply the radius (7 in) by 2

3. 7 x 2 = 14

4. Then multiply 14 by 3.14

5. 14 x 3.14 = 43.96

5. There's your answer :)

Hope this helps :)

A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?

A.)(3.14)(5m)2(10m)
B.)(3.14)(5m)2(20m)
C.)(3.14)(10m)2(5m)
D.)(3.14)(20m)2(5m)

Answers

The answer is b . i just had the question and I got it right .

The price of general admission Twins tickets increased from $7 to $18 when they moved to Target Field. What is the percent increase in the ticket price? Explain how you know

Answers

Answer:

257 1/7%

Step-by-step explanation:

[tex] \frac{18}{7} = 2.57142857[/tex]

2.57142857 = 257 1/7 %

Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each
region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each
region and an equal number in each group, while yielding valid conclusions in the study
Type your response in the box.

Answers

Answer:

The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.

What is sampling?

Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.

In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.

Step-by-step explanation: correct on plato:)

Answer:

The best way would be to randomly select 100 reps from the midwest and another random 100 from the northeast, giving you an equal amount from each region and totaling to 200 total, while also giving valid conclusions to the study.

Step-by-step explanation:

Which statements are true? select three options. the population density for city b can be found using the ratio 48,592 : 26. the population density for city d can be found using the ratio 258 : 196,429. city a has the greatest population density of the four cities. the population density of city b is greater than that of city c. city d has the lowest population density of the four cities.

Answers

The three statements truly define the conditions are 1,3 and 4.

What is population density?

The number of individuals of a species in a certain geographic location is known as population density.

Data on population size may be used to quantify demographic information as well as to analyze links with habitats, people's health, and transportation.

The population density is given as  the ratio of population per unit area;

[tex]\rm population \ density= \frac{population}{Area}[/tex]

For the different cities the population density is found as;

For city a

[tex]\rm P_A = \frac{2,19514}{1553} \\\\ \rm P_A = 1413.98[/tex]

For city b

[tex]\rm P_B =\frac{48,592 }{26} \\\\ \rm P_B =1868.15[/tex]

For city c

[tex]\rm P_C = \frac{ 1,257,676}{999} \\\\ \rm P_C = 999[/tex]

For city d

[tex]\rm P_D = \frac{196,429}{258} \\\\ \rm P_A = 761.35[/tex]

The three statements defining the condition will be;

The population density for city b would be 48,592:26.  

The population density for city b is more than city c.

The city d contains the lowest population density

Hence the three statements true will be 1,3 and 4.

To learn more about the population density refer to the link;

https://brainly.com/question/16894337

what is the answer to 12x10.4

Answers

Answer: 124.8

Step-by-step explanation:

Here is a Answer to your question:

12 x 10.4 = 124.8

I am sorry if this was not helpful

Hope this was helpful

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