SOLUTION: A cube & a sphere have equal volumes. find the ratio of the radius of the sphere to an edge of the cube?
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Question 763128: A cube & a sphere have equal volumes. find the ratio of the radius of the sphere to an edge of the cube?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
Let the radius of the cube be 'r' and edge of the cube be 'd'
Volume of cube = d^3
Volume of sphere = = (approx)
Given that both volumes are equal
d^3 = 4.19*r^3
r^3/d^3 = 1/4.19 = 0.2387
r/d = = 0.6203 (approximately)
Ratio of radius of sphere to edge of cube =
:)
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