The volume of a sphere is given by the formula `V=4/3pi r^3` ; if the volume of the sphere is 800cm(cubed),calculate the radius.
We are given the volume of a sphere is `800 "cm"^3` , and we are asked to find the radius.
As noted, the formula for the volume of a sphere is `V=4/3pi r^3` , so:
`600=pir^3` Mulitiplied both sides by 3/4
`r^3=600/pi` Divided both sides by `pi`