Question

A cylinder has a volume of 1,884 cm ³. Find the volume of a cone with the same radius and height as the cylinder.

Answer 1

volume of the cone =628 cm³

Explanation:

To solve this problem, we need to take note of the following:

Volume of a cone =
`(1)/(3)` πr²h

Volume of a cylinder =πr²h

where r = radius and h = height

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

From the question, since the cone has the same radius and height as the cylinder, and the volume of the cylinder is 1884 cm³, then we can use the above relationship to find the volume of the cone

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

=
`(1)/(3)` (1884)

=628 cm³

volume of the cone =628 cm³

Answer 2

628 cm ³

Explanation:

The volume V of a cylinder whose radius is r and height is h is given as

V = πr²h

The volume of a cone v of a radius r and height h is also given as

v = 1/3 πr²h

As such , given that the cylinder has a volume of 1,884 cm ³, the volume of a cone with the same radius and height as the cylinder

= 1/3 * 1,884 cm ³

= 628 cm ³