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

Algebra ->  Volume -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a sphere is V=%284%2F3%29pi%2AR%5E3
The volume of a cylinder is V=pi%2AR%5E2%2AH
Equating the two volumes gives %284%2F3%29pi%2AR%5E3+=+pi%2AR%5E2%2AH
If we divide both sides by pi%2AR%5E2 we get
H+=+%284%2F3%29R