Question

a given circular cylinder has a radius of 6 meters (m) and a height of 4.8 m. calculate the volume of the cylinder and leave your answer in terms of π.

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

We are given that \( r = 6\) meters and \( h=4.8\) meters. Substituting these values into the formula, we get:
\( V=\pi\times(6)^{2}\times4.8 \)

Step3: Calculate \( (6)^{2}\times4.8 \)

First, calculate \( (6)^{2}=36 \). Then, multiply \( 36\times4.8 = 172.8 \). So, \( V = 172.8\pi\)

Answer:

\( 172.8\pi \) cubic meters (or \( 172.8\pi\space m^{3} \))