Question

what is the volume of this cylinder? round your answer to the nearest hundredth.

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: Identify values

From the image, $r = 5$ inches and $h=5$ inches.

Step3: Substitute values

Substitute $r = 5$ and $h = 5$ into the formula: $V=\pi\times(5)^{2}\times5$.
First, calculate $(5)^{2}=25$. Then $V=\pi\times25\times5 = 125\pi$.

Step4: Calculate and round

Using $\pi\approx3.14159$, $V\approx125\times3.14159 = 392.69875$. Rounding to the nearest hundred - th, $V\approx392.70$.

Answer:

$392.70$