177k views
5 votes
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?​

2 Answers

5 votes

Answer:

volume of cone = 58.33 unit³

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

User Ross Presser
by
4.9k points
6 votes

Answer:

175/3 π

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.

User Dperitch
by
5.3k points