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):
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.
