Question

cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 6 meters, calculate the volume of each cone. Which conclusion is correct ? The volume of cone A is twice the volume of cone B, the volume of cone Bis ywice the volume of cone A , The volume of cone B is 4 time the volume of cone A or The volume of cone B is 3 times the volume of cone A?

Answer 1

The volume of Cone B is twice the volume of Cone A.

Answer 2

The volume of cone B is twice the volume of cone A.

Explanation:

Cone A

Height of cone = 3 m

Radius of Cone = 2 m

Volume of cone =
`(1)/(3) \pi r^(2) h`

=
`(1)/(3) * 3.14 * 2^(2) (3)`

=
`12.56 m^3`

Cone B

Height of cone = 6 m

Radius of Cone = 2 m

Volume of cone =
`(1)/(3) \pi r^(2) h`

=
`(1)/(3) * 3.14 * 2^(2) (6)`

=
`25.12 m^3`

Now
`12.56 * 2 = 25.12`

Thus the volume of cone B is twice the volume of cone A.