Question

Part

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that
has the same base and height as the cone?

Answer 1

900 cubic inches.

Explanation:

Given the following data;

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

`V = \frac {1}{3} \pi r^(2)h`

Where;

• V is the volume of right circular cone.

• r is the radius of the base of the right circular cone.

• h is the height of the right circular cone.

The volume of a right circular cylinder is given by the formula;

`V = \pi r^(2)h`

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

`V = \frac {1}{3} \pi r^(2)h * 3`

Substituting into the equation, we have;

`V = 300 * 3`

V = 900in³

Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.