Find the ratio of the volumes of a cube to that of a cylinder of maximum volume fitted in the
cube.
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Answer:
=6:π
Step-by-step explanation:
Let the radius of the sphere which fits exactly into a cube be r units.
Then,
Length of each edge of the cube =2r units
Let V1 and V2 be the volumes of the cube and sphere respectively. Then,
V1=(2r)3 and V2=34πr3
V2V1=π6
V1:V2=6:π
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