Question

a cylinder has a height of 12 inches and a diameter of 18 inches. what is its volume? round your answer to the nearest hundredth. cubic inches

Explanation:

Step1: Find the radius

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

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$, where $h = 12$ inches and $r = 9$ inches. Substitute the values: $V=\pi\times9^{2}\times12=\pi\times81\times12 = 972\pi$.

Step3: Calculate the numerical value and round

$V=972\pi\approx972\times3.14159 = 3053.62848$. Rounding to the nearest hundred - th, $V\approx3053.63$ cubic inches.

Answer:

$3053.63$