We are told that a has a height of 9 inches and a base whose is 721 inches. Let's start by drawing it.
To find the , we can use the formula for the .
V=31πr2h
Here,
r is the and
h is the height of the cone. We already know that the height of the cone is
9 inches. To find
r we can divide the diameter
d by
2.
The radius of the base is
415 inches. Let's substitute these values into the formula and calculate the volume.
V=31πr2h
V=31π(415)2(9)
V=31π(16225)(9)
V=31π(162025)
V=31(162025)π
V=482025π
V=132.535940…
V≈132.5
The volume of the cone is about
132.5 cubic inches.