SOLUTION: one sphere is inscribed in a cube while the cube is inscribed in another sphere, what's the ratio of the volumes of the larger sphere to the smaller sphere.
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Question 982137: one sphere is inscribed in a cube while the cube is inscribed in another sphere, what's the ratio of the volumes of the larger sphere to the smaller sphere.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
.
let rsdius of in sphere be r1 with volume v1
v1= 4/3 pi r1^3
radius of outer sphere = (by Pythagoras theorem)
V2= 4/3 pi (sqrt(2))^3*r1
)
v2/v1=
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