Question

what is the volume of this cylinder? round your answer to the nearest hundredth. 32 mm 14 mm cubic - millimeters

Explanation:

Step1: Identify radius and height

The radius $r = \frac{32}{2}=16$ mm and height $h = 14$ mm.

Step2: Use volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 16$ and $h = 14$ into the formula: $V=\pi\times(16)^{2}\times14=\pi\times256\times14 = 3584\pi$.

Step3: Calculate and round

$V\approx3584\times3.14159 = 11259.51556$. Rounding to the nearest hundred - th, $V\approx11259.52$ $mm^{3}$.

Answer:

$11259.52$