Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

cylinder 1 is congruent to cylinder 2. the dimensions of the cylinders …

Question

cylinder 1 is congruent to cylinder 2. the dimensions of the cylinders are given in units. what is the volume of cylinder 2? 24π cubic units 48π cubic units 66π cubic units 72π cubic units

Explanation:

Step1: Recall volume formula for cylinder

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 values

From the problem, for cylinder 2, $r = 3$ and $h=8$.

Step3: Substitute values into formula

$V=\pi\times3^{2}\times8=\pi\times9\times8 = 72\pi$.

Answer:

72π cubic units