Question

The volume of a cylinder is 20 ft. Which expression represents the volume of a cone with the same base and height

as the cylinder?
2.43
30 R
20 ft
3
3(20) ft
1 2004

Answer 1

b

Explanation:

Answer 2

Explanation:

We have,

Volume of cylinder is 20 ft,
`V_1=20\ ft`

It is required to find the expression that represents the volume of a cone with the same base and height as the cylinder.

Let
`V_2` is volume of cone. The formula of the volume of cylinder and the cone is given by :

`V_1=\pi r^2 h\\\\V_2=(1)/(3)\pi r^2h`

Dividing the above formulas as :

`(V_2)/(V_1)=((1)/(3)\pi r^2h)/(\pi r^2 h)\\\\(V_2)/(V_1)=(1)/(3)`

`V_2=(V_1)/(3)`

`V_2=(20)/(3)\ ft`

So, the volume of a cone is
`(20)/(3)\ ft`.