Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 13 mm 7 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 problem, the radius $r = 13$ mm and the height $h=7$ mm.

Step3: Substitute values into formula

$V=\pi\times(13)^{2}\times7=\pi\times169\times7 = 1183\pi$ mm³.

Step4: Calculate and round

$V\approx1183\times3.14159 = 3717.30597$ mm³. Rounding to the nearest hundred - th, $V\approx3717.31$ mm³.

Answer:

$3717.31$