The formula for the volume of a cone is given by:
[tex]V=\frac{\pi r^2h}{3}[/tex]
Where:
r = diameter/2 = 8/2 = 4 m
h = 7 m
Substitute the values:
[tex]V=\frac{\pi(4)^2(7)}{3}=\frac{\pi(16)(7)}{3}=\frac{\pi(112)}{3}=\frac{112\pi}{3}[/tex]
Answer: the volume is
[tex]\frac{112\pi}{3}\text{ m}^3[/tex]
