The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Answers

Answer 1

Answer:

A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]

B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]

C: 351.68[tex]cm^{2}[/tex]

Step-by-step explanation:

Answer 2

The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base

The area of the base is:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]A = \pi *4^2[/tex]

[tex]A = 16\pi[/tex]

Hence, the area of the base is [tex]16\pi[/tex]

The cubic inches that can fill the cylinder

This is the volume of the cylinder.

So, we have:

[tex]V = \pi r^2h[/tex]

Substitute known values

[tex]V = \pi * 4^2 * 7[/tex]

[tex]V = 112\pi[/tex]

Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]

The decimal approximation

We have:

[tex]V = 112\pi[/tex]

Expand

[tex]V = 112 * 3.14[/tex]

Evaluate the product

[tex]V = 351.68[/tex]

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

Read more about volume at:

https://brainly.com/question/10171109


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Step-by-step explanation:

calculator


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Tan A = 1.7/4.3 = .39534...

m∠A = arctan .39534... ≅ 22°

m∠B = 90 - 22 = 68°

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Step-by-step explanation:

here is my explanation i count the distance from store to home for B

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for A i count the distance home to school give me 6^2

I add it 6^2 + 8^2 = -10

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]

[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]

[tex]\pink{ \rule{80pt}{100000pt}}[/tex]

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Answers

Answer:

D

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Answers

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Answers

Answer:

x=2 and y=−6

sorry this is pretty long, I did not know if you needed the steps or not

Step-by-step explanation:

−2y−10=x;−10x−y=−14

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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___

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My Answer for your question is

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Step-by-step explanation:

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Answers

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