Question

a cylinder has a height of 17 inches and a diameter of 28 inches. what is its volume? round your answer to the nearest hundredth. ____ cubic inches

Explanation:

Step1: Find radius from diameter

The diameter is 28 inches, so radius $r = \frac{28}{2} = 14$ inches.

Step2: Recall cylinder volume formula

Volume formula: $V = \pi r^2 h$

Step3: Substitute values into formula

Substitute $r=14$, $h=17$:
$V = \pi \times 14^2 \times 17$
$V = \pi \times 196 \times 17$
$V = 3332\pi$

Step4: Calculate and round to nearest hundredth

$V \approx 3332 \times 3.14159265$
$V \approx 10468.79$

Answer:

10468.79 cubic inches