Question

a cylinder has a base radius of 5 feet and a height of 16 feet. what is its volume in cubic 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 and $h$ is the height.

Step2: Substitute given values

Given $r = 5$ feet and $h=16$ feet. Substitute into the formula: $V=\pi\times(5)^{2}\times16$.

Step3: Calculate the result

First, $(5)^{2}=25$, then $V=\pi\times25\times16 = 400\pi$. Using $\pi\approx3.14159$, $V\approx400\times3.14159 = 1256.636$.

Step4: Round to nearest tenth

Rounding $1256.636$ to the nearest tenth gives $1256.6$.

Answer:

$1256.6$