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!
- Anonymous1 decade agoFavorite Answer
Divide both sides by 4/3:
Divide both sides by pi. I'll use 3.141592654 for pi.
Take the cube root of both sides:
The radius is 4.92 cm.
- 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