Question

1. a cylindrical water tank has a radius of 4 m and a height of 6 m. what is its volume?

a. 24π m³
b. 96π m³
c. 144π m³
d. 48π m³

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: Substitute the given values into the formula

Given \(r = 4\) m and \(h=6\) m. Substitute into \(V=\pi r^{2}h\):
\(V=\pi\times(4)^{2}\times6\)
First, calculate \((4)^{2}=16\). Then \(V=\pi\times16\times6\)
\(V = 96\pi\) \(m^{3}\)

Answer:

B. \(96\pi m^{3}\)