The volume of a cylinder is 32.25 cubic inches. if a cone has the same height and radius as the cylinder, what is its volume?

The volume of a cylinder with a radius r and a height h:

The volume of a cone with a radius r and a height h:

Therefore

We have

Substitute:

The volume of a cone is equal 10.75 in³

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

46.2+112.3

step-by-step explanation: