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

Relevance
  • Anonymous
    1 decade ago
    Favorite 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.

    • Login to reply the answers
  • 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

    by the way if this answer helped you why not help me a little by going to this site and clicking on some ads over there thanks ;)

    http://www.geocities.com/gobi_staff/ad.html

    Source(s): by the way if this answer helped you why not help me a little by going to this site and clicking on some ads over there thanks ;) http://www.geocities.com/gobi_staff/ad.html
    • Login to reply the answers
  • 1 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

    • Login to reply the answers
Still have questions? Get your answers by asking now.