SOLUTION: Cone and hemisphere volume is same. Find ratio of radius and hight

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Question 818761: Cone and hemisphere volume is same. Find ratio of radius and hight
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

(1/2 of the volume of a full sphere)
Simplifying :


Since :

Now we just solve for r/h:
Dividing both sides by :

Dividing both sides by :

Multiplying both sides by 3:

Divide both sides by 2:

Divide both sides by h:

So the ratio of the radius to the height is 1/2.
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