Question

a cylinder has a diameter of 18 feet and a height of 5 feet. what is the volume of the cylinder? 3,645π ft³ 1,620π ft³ 405π ft³ 81π ft³

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter. Given diameter $d = 18$ feet, so $r=\frac{d}{2}=\frac{18}{2}=9$ feet.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 9$ feet and $h = 5$ feet into the formula. Then $V=\pi\times9^{2}\times5=\pi\times81\times5 = 405\pi$ cubic - feet.

Answer:

$405\pi$ ft³