Question

what is the volume, in cubic feet, of a cylinder with a height of 15 feet and a base radius of 4 feet, to the nearest tenths place?

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height.

Step2: Substitute values

Given $r = 4$ feet and $h=15$ feet, substitute into the formula: $V=\pi\times(4)^{2}\times15$.

Step3: Calculate

First, $(4)^{2}=16$. Then $V=\pi\times16\times15 = 240\pi$.

Step4: Approximate

Using $\pi\approx3.14159$, $V\approx240\times3.14159 = 753.9816$.
Rounding to the nearest tenth, $V\approx754.0$.

Answer:

$754.0$