a cylinder has a height of 17 centimeters and a diameter of 18 centimeters. what is its volume? round your…

Explanation:

Step1: Find radius from diameter

The radius $r$ is half the diameter. $r = \frac{18}{2} = 9$ cm

Step2: Recall cylinder volume formula

Volume $V = \pi r^2 h$, where $h$ is height.

Step3: Substitute values and calculate

Substitute $r=9$, $h=17$: $V = \pi \times 9^2 \times 17 = \pi \times 81 \times 17 = 1377\pi$ Calculate numerical value: $1377 \times 3.14159265 \approx 4325.99$

Answer:

4325.99 cubic centimeters