Question

Help geometry?????????????????????

Answer 1

The volume of a sphere is
`V = 4 * \pi * r^(2)`
Substitute the volume in:

`100 \pi = 4 \pi r^(2)`

`r^(2)`

`r = 5`

Take the radius that we just calculated and use the volume formula as follows:

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

`V = (4)/(3) \pi * ( 5^(3) )`

`V = (4)/(3) \pi (125)`

`V = (500)/(3) \pi = 166 (2)/(3) \pi ft^(3)`