Question

The volume of a sphere is * cubic centimeters. What is the radius?

Answer 1

Given volume= 32/3 π

Now, we know that volume of sphere = 4/3 π r³ according to the question.

`(4)/(3) \pi r^(3) =(32)/(3) \pi`

Both π and 3 are canceled from both sides

Now,

`4r^(2) =32`

Divide both sides by 4

`r^(3) =(32)/(4) =8`

`r^(3) =8`

`r=(8)^(1/3) =(2* 2 * 2)^(1/3)`

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

`r=2 \; cm`

Radius of sphere = 2 cm

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