Question

1. a cylinder has a height of 6 feet and a radius of 6 inches. what is the volume of the cylinder? select that apply. a. 1.5π cubic feet b. 216π cubic feet c. 216π cubic inches d. 2,592π cubic inches e. 3π cubic feet

Explanation:

Step1: Convert radius to feet

Since 1 foot = 12 inches, 6 inches = $\frac{6}{12}=0.5$ feet.

Step2: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$.

Step3: Calculate volume in cubic - feet

Substitute $r = 0.5$ feet and $h = 6$ feet into the formula: $V=\pi\times(0.5)^{2}\times6=\pi\times0.25\times6 = 1.5\pi$ cubic feet.

Step4: Convert radius and height to inches

$h = 6$ feet = $6\times12 = 72$ inches, $r = 6$ inches.

Step5: Calculate volume in cubic - inches

Substitute $r = 6$ inches and $h = 72$ inches into the formula $V=\pi r^{2}h$: $V=\pi\times6^{2}\times72=\pi\times36\times72 = 2592\pi$ cubic inches.

Answer:

A. 1.5$\pi$ cubic feet
D. 2,592$\pi$ cubic inches