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)
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(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.