The solid below was made by cutting a cone-shaped hole out of a cylinder. The surface area of the resulting composite solid is square cm. Write your answer in terms of pi.

Answers

Answer 1

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

The Solid Below Was Made By Cutting A Cone-shaped Hole Out Of A Cylinder. The Surface Area Of The Resulting

Related Questions

9. please please help me out ill mark you brainlist

Answers

Answer:

C. The scale factor is less than one.

Step-by-step explanation:

By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)

△WXY is a right triangle, and △WZY is an isosceles triangle where WY¯¯¯¯¯¯≅ZY¯¯¯¯¯. Which is the measure of ∠XYZ?

Answers

Answer:

61 degrees

Step-by-step explanation:

TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!

The measure of ∠XYZ in right triangle is 90 degrees.

What is an isosceles right angled triangle?

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.

Let the considered isosceles triangle has two same lengthed sides of 'a' units.

Let its third side be of 'b' units.

Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.

We are given that;

A right triangle △WXY and △WZY

Now,

Let's label ∠WZY as α, so we have:

∠WZY = α

∠WYZ = α

Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:

∠WYX = 90 - ∠WXY

Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:

∠WXY + ∠XYZ = 90

Substituting ∠WYX for ∠WXY, we get:

∠WYX + ∠XYZ = 90

90 - ∠WXY + ∠XYZ = 90

∠XYZ = ∠WXY

Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:

∠XYZ = 90 degrees

Hence, in the given right triangle answer will be 90 degrees.

Learn more about isosceles right angled triangle here:

https://brainly.com/question/27190025

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A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?

Answers

Answer: $16

Explanation: 10% of $160 is $16

You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is

Answers

Answer: 11/50

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries. The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.

Help me with this please!!!!!

Answers

Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-9, 6, -4)

Substitute the values in the above equation and you will get

d = √(-9)^2 + (6)^2 + (-4)^2

= √(81 + 36 + 16)

= √133

= 11.53

Answer:

The answer is 11.53

1 4/7 as an improper fraction.

Answers

your answer would be

11/7

The mix fraction as an improper fraction is 11/7.

We have,

Mix fraction:

1(4/7)

This can be simplified as an improper fraction:

= {(7 x 1) + 4} / 7

= (7+ 4) / 7

= 11/7

Thus,

The mix fraction as an improper fraction is 11/7.

Learn more about fractions here:

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What is the probability that Sarah will not select the queen of hearts?

Answers

Answer:

Step-by-step explanation:

I think the answer is B

Pls help will mark brainliest

Answers

So the one on the bottom is the answer plz mark on us as brainliest

help me pls! i'll mark u brainliest promised

Answers

Answer:

DF≅YZ

angle R≅angle N

XW≅TH

angle M ≅angle C

new coordinate=(2,1)

new coordinate=(0,2)

Reflection:

new coordinate=(5,-6)

new coordinate=(1,4)

Last one is already done

Step-by-step explanation:

A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)

Answers

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

square & cube numbers puzzle
| Using only square and cube numbers less than or equal to 100, can you fill in the circles to make these
| sums true? You can only use each number once and you must use all the numbers.
36) + (64

Square and cube numbers

Answers

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Represent equations 1, 2 and 3 in matrix form gives:

[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

Answer:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased, hence:

x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0 (3)

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

helpppp pleaseee
NO LINK

Answers

Answer:

The graph increases

Step-by-step explanation:

If yu were to randomly survey 500 people each from two largest us cities would this be a random study why or why not HELP NEEDED ASAP !

Answers

Answer:

If you're timed then I would say,

Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.

I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(

Answer:

No, its nat a random sample

Step-by-step explanation:

Its not a random sample because you have already selected two populations (the two largest US cities) which may or may not be representative of the vast majority of the country.

Hope this helps:)

HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU

Answers

Answer:

1) No

2) 4/8 or 1/2

3) 2/8 or 1/4

4) 4/8 or 1/2

5) No

6) 1/8

7) No

A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?

Answers

Answer:

[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]

A spinner has 8-equal sections. Six of the sections are green. What is the probability that the spinner will land on green?

Answers

Answer:

3/4

Step-by-step explanation:

To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections

we have this as:

6/8 = 3/4

Can someone explain this question which part of the class do you think you will apply to your life both now or in the future?

Answers

Ok I understand nununununuununu

5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).

Answers

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

Which statement is true about the pattern above?

Answers

The answer is the fraction 12/16 is also part of the pattern

Answer:

The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.

Step-by-step explanation:

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