A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?

A.

72π cu. in.

B.

864π cu. in.

C.

3,456π cu. in.

D.

6,912π cu. in.

Respuesta :

Lanuel

Answer:

B. 864π cu. in.

Step-by-step explanation:

Given the following data;

Diameter = 24 inches

Radius, r = diameter/2 = 24/2 = 12 inches

Height, h = radius/2 = 12/2 = 6 inches

To find the volume of the cylinder in cubic inches;

First of all, we would determine the area of its circular base.

Area of circle = πr²

Area = π * 12²

Area = 144π in² (in terms of pie, π)

Next, we would find the volume of the cylinder;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

  • V is the volume of a right circular cylinder.
  • r represents the radius of the cylinder.
  • h represents the height of the cylinder.

Substituting into the formula, we have;

Volume = 144π * 6

Volume = 864π cu. in

talksp

Answer:

B. 864π cu. in.

Step-by-step explanation:

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