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.

Question

asked Aug 1, 2023 77.0k views

1 Answer

Manuel Otto · Answer 1 · 2023-08-05T14:26:51+0000

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

$V=(\pi r^2h)/(3)$

Where:

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

h = 7 m

Substitute the values:

$V=(\pi(4)^2(7))/(3)=(\pi(16)(7))/(3)=(\pi(112))/(3)=(112\pi)/(3)$

Answer: the volume is

$(112\pi)/(3)\text{ m}^3$