Question

Find the volume of a cone with a base diameter of 8 m and a height of 7 m.Write the exact volume in terms of it, and be sure to include the correct unit in your answer.

Answer 1

The formula for the volume of a cone is given by:

$V=\frac{\pi r^2h}{3}$

Where:

r = diameter/2 = 8/2 = 4 m

h = 7 m

Substitute the values:

$V=\frac{\pi(4)^2(7)}{3}=\frac{\pi(16)(7)}{3}=\frac{\pi(112)}{3}=\frac{112\pi}{3}$

Answer: the volume is

$\frac{112\pi}{3}\text{ m}^3$