SOLUTION: An ice cream cone has radius 1 inch and height 4 inches, What is the number of inches in the radius of a sphere of ice cream which has the same volume as the cone?

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Question 1087585: An ice cream cone has radius 1 inch and height 4 inches, What is the number of inches in the radius of a sphere of ice cream which has the same volume as the cone?
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
The volume of the cone is   = .


The volume of the sphere is  = .


They want you find the radius of the sphere  R  under the assumption that

 = ,   or

 = .

It leads to the equation

 = ,  which  implies   = 1.


Hence, R = 1.


Answer. The equivalent radius of the sphere is 1 inch.


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