Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 14 mm 17 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

The radius $r = 14$ mm and the height $h=17$ mm.

Step3: Substitute values into formula

$V=\pi\times(14)^{2}\times17=\pi\times196\times17 = 3332\pi$.

Step4: Calculate the value

$V\approx3332\times3.14159 = 10454.77788$.

Step5: Round to nearest hundredth

Rounding $10454.77788$ to the nearest hundredth gives $10454.78$.

Answer:

$10454.78$