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

Here, $r = 6$ mm and $h=9$ mm.

Step3: Substitute values

$V=\pi\times(6)^{2}\times9=\pi\times36\times9 = 324\pi$ $mm^{3}$.

Step4: Calculate and round

$V\approx324\times3.14159 = 1017.87616$ $mm^{3}$. Rounding to the nearest hundredth, $V\approx1017.88$ $mm^{3}$.

Answer:

$1017.88$