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8. (3 points) Consider the largest cylinder that can be fit inside the sphere. What fraction of the volume of a sphere does this cylinder occupy?​

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The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter. The volume V of a sphere is four-thirds times pi times the radius cubed. The volume of a hemisphere is one-half the volume of the related sphere.

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