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.

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embizze | High School Teacher | (Level 2) Educator Emeritus

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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:

`800=4/3pir^3`

`600=pir^3` Mulitiplied both sides by 3/4

`r^3=600/pi` Divided both sides by `pi`

`r=root(3)(600/pi)`

`r~~5.7588"cm"`