Question

1. if a cylinder has a height of 12 cm and a radius of 5 cm, what is the volume in cubic cm? a. 150π b. 240π c. 60π d. 300π

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 5\) cm and \(h=12\) cm. First, calculate \(r^{2}\): \(r^{2}=5^{2}=25\). Then, find \(V\): \(V=\pi\times25\times12\).

Step3: Simplify the expression

\(V = 300\pi\)

Answer:

D. \(300\pi\)