Question

The radius AND height of a cone are each doubled. What is the new volume? A) 4 3 πhr2 B) 8 3 πhr2 C) 4πhr2 D) 8πhr2

Answer 1

Answer: B

Explanation:

Answer 2

Volume of cone:

`V = (1)/(3)\pi r^2h`

Double the radius to 2r, and double the height to 2h.
Volume of new larger cone:

`V = (1)/(3)\pi(2r)^2 * 2h`


`V = (1)/(3)\pi * 4r^2 * 2h`


`V = (1)/(3)\pi * 8r^2 h`


`V = (8)/(3)\pi r^2 h`

Answer: Choice B)