Question

find the volume of the cylinder. v = ? π in³ leave your answer in terms of π

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Identify the values of \(r\) and \(h\)

Given \(r = 7\) in and \(h=13\) in.

Step3: Substitute the values into the formula

Substitute \(r = 7\) and \(h = 13\) into \(V=\pi r^{2}h\). Then \(V=\pi\times(7)^{2}\times13\).
First, calculate \((7)^{2}=49\). Then \(V=\pi\times49\times13\).
Next, \(49\times13=(50 - 1)\times13=50\times13-1\times13=650 - 13 = 637\).

Answer:

\(637\)