Question

The volume of this cylinder is 215π

cubic units.



A drawing of a cylinder.
What is the volume of a cone that has the same base area and the same height? Use π
or round your answer to the nearest whole.

Type the answer in the box below.

cubic units

Answer 1

The volume of the cone with the same base area and height as the given cylinder with a volume of 215π cubic units is 71.67π cubic units or approximately 225 cubic units when rounded to the nearest whole number.

Step-by-step explanation:

The volume V of a cylinder is calculated by the formula V = πr²h, where r is the radius of the cylinder's base and h is its height.

For a cone with the same base area and height as the cylinder, its volume V_c is one third of the cylinder's volume. Since the given volume of the cylinder is 215π cubic units, the volume of the cone would be 215π / 3 cubic units, which simplifies to 71.67π cubic units.

When using π as 3.14, the volume of the cone is approximately 225 cubic units when rounded to the nearest whole number.