Question

what is the volume, in cubic meters, of a cylinder with a height of 17 meters and a base radius of 5 meters, 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 values

Given $r = 5$ and $h=17$, substitute into the formula: $V=\pi\times(5)^{2}\times17$.

Step3: Calculate

First, $(5)^{2}=25$. Then $V=\pi\times25\times17 = 425\pi$.
Using $\pi\approx3.14159$, $V\approx425\times3.14159 = 1335.17575$.

Step4: Round

Rounding to the nearest tenths place, $V\approx1335.2$.

Answer:

$1335.2$