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.

The cubic inches that can fill the cylinder is 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 is:

So, we have:

Hence, the area of the base is

This is the volume of the cylinder.

So, we have:

Substitute known values

Hence, the cubic inches that can fill the cylinder is

We have:

Expand

Evaluate the product

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

Read more about volume at:

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A: 16

B: 112

C: 351.68

Step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: