Question

what is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
60π cm³
120π cm³
300π cm³
1200π cm³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume \( V \) of a right - circular 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 \( r = 5\space cm \) and \( h=12\space cm \). Substitute these values into the formula: \( V=\pi\times(5)^{2}\times12 \).
First, calculate \( (5)^{2}=25 \). Then, \( V=\pi\times25\times12 \).
Since \( 25\times12 = 300 \), we have \( V = 300\pi\space cm^{3} \).

Answer:

\(300\pi\space cm^{3}\) (the second option)