Question

If the volume is 1,774 2/3PIcm squared what is the radius of the sphere

Answer 1

The radius of the sphere is 9.6 cm

Explanation:

Given:

The volume of the sphere =
`1774 (2)/(3) \pi`

To Find:

The radius of the sphere = ?

Solution:

We know that the volume of the sphere is

`V=(4)/(3)\pi r^3`

where

r is the radius

Now we have the volume of the sphere

so

`1774 (2)/(3) \pi = (4)/(3)\pi r^3`

`1774 ((2)/(3)) = (4)/(3) r^3`

`1774 ((2)/(3))((3)/(4)) = r^3`

`1774 ((2)/(4)) = r^3`

`1774 ((1)/(2)) = r^3`

`((1774)/(2)) = r^3`

`887 = r^3`

r = 9.6