Question

The volume of the cylinder above is 2314.25units3 , and the radius of the base is 8.9 units. Find the volume of the cone.

Answer 1

771.4 units^3

Explanation:

Formula for volume of a cylinder = V=πr^2h

Plug in the numbers to solve for the height (note: the height of an oblique or slanted cylinder is the same as a regular right cylinder)

2314.25 = π(8.9)^2 h

h=9.3

Then plug the height into the formula for a pyramid

V = 1/3πr^2

V = 1/3 π (8.9)^2 (9.3)

V = 771.4 units ^3