Question

The volume of a cylinder is 40 ft which expression represents the volume of O.C. one with the same base and height as the cylinder

Answer 1

The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?

3(40) ft³

3(1/40) ft³

1/3(40)ft³

1/3(40²) ft³

Answer:

The expression that represents the volume of a cone is
`(1)/(3)` (40) ft³

Explanation:

To find the expression that represents the volume of a cone with the same height and base as the cylinder, we will follow the steps below:

First write down the formula for calculating volume of a cone and volume of a cylinder

volume of a cone =
`(1)/(3)` πr²h

volume of a cylinder = πr²h

If the base are the same, this implies they have the same radius, and from the question, it states that they have the same height, hence;

volume of a cone =
`(1)/(3)` (volume of a cylinder)

from the question, the volume of the cylinder is 40 ft³

volume of a cone =
`(1)/(3)` (volume of a cylinder)

=
`(1)/(3)` (40) ft³

volume of a cone =
`(1)/(3)` (40) ft³

Therefore the expression that represents the volume of a cone is
`(1)/(3)` (40) ft³