SOLUTION: A cone and right pyramid have equal height and volumes. If the area of the base of pyramid is 154cm square, find the base radius of the cone

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Question 1210269: A cone and right pyramid have equal height and volumes. If the area of the base of pyramid is 154cm square, find the base radius of the cone
Answer by ikleyn(52866)   (Show Source): You can put this solution on YOUR website!
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A cone and right pyramid have equal height and volumes.
If the area of the base of pyramid is 154cm square, find the base radius of the cone
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let h be the common height.

The volume of the pyramid is  .

The volume of the cone is  .


Equate the volumes   = .


Cancel    in both sides.  You will get

     = 154

     =  = 49.02  (rounded)

    r =  = 7.001.


ANSWER.  The radius of the cone is about 7 cm.

Solved.



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