Question

what is the volume of this cylinder in cubic inches? 4 in. 7 in. 28π 56π 112π 196π

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 values

Given that $r = 4$ inches and $h=7$ inches.

Step3: Substitute values

Substitute $r = 4$ and $h = 7$ into the formula: $V=\pi\times(4)^{2}\times7$.

Step4: Calculate

First, $(4)^{2}=16$, then $V=\pi\times16\times7 = 112\pi$ cubic - inches.

Answer:

$112\pi$