Question

what is the volume, in cubic meters, of a cylinder with a height of 6 meters and a base radius of 2 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 $r = 2$ meters and $h=6$ meters, substitute into the formula: $V=\pi\times(2)^{2}\times6$.

Step3: Calculate

First, $(2)^{2}=4$, then $V=\pi\times4\times6 = 24\pi$. Using $\pi\approx3.14159$, $V\approx24\times3.14159 = 75.39816$.

Step4: Round to nearest tenth

Rounding $75.39816$ to the nearest tenth gives $75.4$.

Answer:

$75.4$