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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.

Sagot :

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:

MrRoyalidn

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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