Question

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

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Identify given values

$r = 16$ mm, $h = 9$ mm

Step3: Calculate base area

$\pi r^2 = \pi (16)^2 = 256\pi$

Step4: Compute total volume

$V = 256\pi \times 9 = 2304\pi$

Step5: Convert to decimal and round

$2304\pi \approx 2304 \times 3.14159265 \approx 7238.23$

Answer:

7238.23 cubic millimeters