Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 10 mm 10 mm cubic millimeters

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 radius and height

From the image, the radius $r = 10$ mm and the height $h=10$ mm.

Step3: Substitute values into formula

$V=\pi\times(10)^{2}\times10=\pi\times100\times 10 = 1000\pi$ mm³.

Step4: Calculate and round

Using $\pi\approx3.14159$, $V\approx1000\times3.14159 = 3141.59$ mm³.

Answer:

$3141.59$