Question

what is the volume of this cylinder in cubic inches? 6 in. 5 in. 30π 60π 150π 180π

Explanation:

Step1: Recall the formula for the volume of a 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 the values of \(r\) and \(h\)

Given \(r = 6\) inches and \(h=5\) inches.

Step3: Substitute the values into the formula

Substitute \(r = 6\) and \(h = 5\) into \(V=\pi r^{2}h\). We get \(V=\pi\times6^{2}\times5\).
First, calculate \(6^{2}=36\). Then \(V=\pi\times36\times5\).
Since \(36\times5 = 180\), so \(V = 180\pi\) cubic inches.

Answer:

\(180\pi\)