SOLUTION: This question has been bugging me and I can't seem to figure it out: There is a cylinder and a sphere of equal radius and of equal volume, express the height of the cylinder in

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Question 805370: This question has been bugging me and I can't seem to figure it out:

There is a cylinder and a sphere of equal radius and of equal volume, express the height of the cylinder in terms of r the radius.
Can you help me please?
Thank you.

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
The volume of a sphere is
The volume of a cylinder is
Equating the two volumes gives
If we divide both sides by we get

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