Question

a cylinder has a base diameter of 10 feet and a height of 6 feet. what is its volume in cubic feet, to the nearest tenths place?

Explanation:

Step1: Find the radius of the base

The diameter $d = 10$ feet, and the radius $r=\frac{d}{2}=\frac{10}{2}=5$ feet.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 5$ feet and $h=6$ feet into the formula. So $V=\pi\times5^{2}\times6=\pi\times25\times6 = 150\pi$ cubic - feet.

Step3: Calculate the numerical value and round

$V = 150\pi\approx150\times3.14159 = 471.2385$ cubic - feet. Rounding to the nearest tenth, $V\approx471.2$ cubic - feet.

Answer:

$471.2$