The volume of this cylinder is 175pi cubic units. What is the volume of a cone that has the same base area and the same height? Write your answer in terms of pi.

Respuesta :

Answer: 58.33π units ³

Step-by-step explanation:

The volume of a cylinder = πr²h

The volume of a cone = 1/3πr²h

Since we have been told that the volume of this cylinder is 175pi cubic units and that the cone has the same base area and the same height, then the volume of the cone will be the volume of the cylinder divided by 3. This will be:

= 175π / 3

= 175/3π

= 58.33π units ³

The volume of the cone is 58.33π units ³