A cone with a height of 9 feet and the radius of 8 feet if the height of a cone were doubled, what would be the volume of the new cone

Answer 1

The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.

For the original cone, we have:

V = (1/3)π(8^2)(9)
V = 192π

If we double the height, the new height will be 18 feet. The radius remains unchanged.

So for the new cone, we have:

V' = (1/3)π(8^2)(18)
V' = 384π

Therefore, the volume of the new cone is 384π cubic feet.