The volume of this cylinder is 175π cubic units.

What is the volume of a cone that has the same base and the same height?

175/3 π

Step-by-step explanation:

The volume of a cone is 1/3 of a cylinder with the same measurements.

If the cylinder is 175π then the cone is 175/3 π.

volume of cone = 58.33 unit³

Step-by-step explanation:

The volume of a cylinder can be represented as follows:

volume = πr²h

where

r = radius

h = height of the cylinder

volume = 175π unit³

The volume of a cone

volume = 1/3πr²h

where

r = radius

h = height

Since the volume of the cylinder = πr²h and have same base radius and height with the cone, the volume of a cone is just 1/3 of the volume of the cylinder.

Therefore,

volume of cone = 1/3 * 175

volume of cone = 175/3

volume of cone = 58.33 unit³