Question

Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculate the volume of both cones. Which statement is accurate?

Answer 1

Can I have the answers to choose from?

Answer 2

Volume of cone A = 4 pi cubic inches , Volume of cone B= 16 pi cubic inches.

Volume of cone B is 4 times of volume of cone A.

Explanation:

Given : Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled.

To find : Calculate the volume of both cones. Which statement is accurate.

Solution : We have given two cones A and cone B.

Radius of cone A = 2 inches.

Height of cone A= 3 inches.

Radius of cone B= 4 inches. ( double of radius of cone A)

Height of cone A= 3 inches.

Volume of cone =
`pi * r^(2) * (h)/(3)`.

Volume of cone A =
`pi * 2^(2) * (3)/(3)`.

Volume of cone A = 4 pi cubic inches.

Volume of cone B =
`pi * 4^(2) * (3)/(3)`.

Volume of cone B= 16 pi cubic inches.

Volume of cone B is 4 times of volume of cone A.

Therefore, Volume of cone A = 4 pi cubic inches , Volume of cone B= 16 pi cubic inches.

Volume of cone B is 4 times of volume of cone A.