Question

The volume of a sphere is two-thirds of a cylinder. What is the volume of a cylinder that has the same diameter as a sphere with a volume of 14 u^3, in u^3

Answer 1

`V_2= (28)/(3) u^3`

Explanation:

Given

Represent the volume of the cylinder with V1 and the volume of the sphere with V2

So, from the first statement: we have:

`V_2 =(2)/(3)V_1`

and

`V_1 = 14u^3`

To solve for
`V_2`, we simply substitute
`14u^3` for
`V_1` in
`V_2 =(2)/(3)V_1`

`V_2 =(2)/(3)V_1`

`V_2= (2)/(3) * 14u^3`

`V_2= (2* 14)/(3) u^3`

`V_2= (28)/(3) u^3`

Hence, the volume of the sphere is
`(28)/(3) u^3`