SOLUTION: A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length of the cube ? Express answer as a decimal to the nearest hundredth.

Question 264316: A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length of the cube ? Express answer as a decimal to the nearest hundredth.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length of the cube ? Express answer as a decimal to the nearest hundredth.
vol of sphere = 4/3 *pi*(1/2 *d)^3
vol of cube l^3
4/3 *22/7 * 1/8 *d3
d^3/l^3 =1= 3*7*8 / 22*4
1.92

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