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# How do I find the radius of a sphere when given it's volume?

I need to work out the radius of a sphere with a volume of 500cm^3.

Please explain the process and give the answer, thanks!

=D

### 3 Answers

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- Anonymous1 decade agoFavorite Answer
volume=(4/3)*pi*(radius^3)

500 cm^3=(4/3)*pi*(radius^3)

Divide both sides by 4/3:

375=pi*(radius^3)

Divide both sides by pi. I'll use 3.141592654 for pi.

119.366=radius^3

Take the cube root of both sides:

4.92=radius

The radius is 4.92 cm.

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- 1 decade ago
since the formula for the volume of a sphere is (4 *pi * R^3)/3 we equal it to 500 and find out the R(radius)

4*pi*R^3=1500 => pi*R^3=375 =>r=5*cubicroot(3)/pi

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- Andreas ALv 61 decade ago
V = 4r³¶/3

solve for r

r³ = 3V/(4¶)

r = ³√3V/(4¶)

plug in V

r = ³√1500/(4¶)

r = 4.92 cm

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