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: Calculate the radius

The radius $r$ is half the diameter:
$r = \frac{28}{2} = 14$ inches

Step2: Recall volume formula for cylinder

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $h$ is height.

Step3: Substitute values and compute

Substitute $r=14$, $h=17$:
$$V = \pi \times 14^2 \times 17$$
$$V = \pi \times 196 \times 17$$
$$V = 3332\pi \approx 3332 \times 3.14159265$$
$$V \approx 10468.67$$

Answer:

10468.67 cubic inches