Question

The volume of a cylinder is approximately 72ft3. Which is the best approximation of the volume of a cone with the same base and height as the cylinder?

Answer 1

24 ft^3

Explanation:

Cylinder:

Volume = (pi)r^2h

Cone:

Volume = (1/3)(pi)r^2h

When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.

A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.

volume of cylinder = 72 ft^3

volume of cone = (1/3) * 72 ft^3 = 24 ft^3

Answer 2

The volume of cone is 24 ft³

Explanation:

Given that volume of cylinder = 72 ft³

Volume of cylinder = πr²h

Volume of cone =
`(1)/(3)`
`\pi`r²h

Volume of cone = volume of cylinder/3

= 72/3

= 24 ft³