SOLUTION: A sphere is circumscribed about a cube. Find the ratio of the side of the cube to the radius of the sphere.
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Question 307810: A sphere is circumscribed about a cube. Find the ratio of the side of the cube to the radius of the sphere.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A sphere is circumscribed about a cube. Find the ratio of the side of the cube to the radius of the sphere.
A sphere is inscribed in a cube.
the diametrically opposite points of the sphere touch the inside of the cube.
So the diameter = length of side of cube
radius of sphere = 1/2 length of cube.
let radius be x
side of cube = 2x
ratio = 2x / x = 2
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