Bunuel wrote:

A cube is enclosed in a cylinder, what is the largest possible volume of the cube?

(1) The volume of the cylinder is 100π

(2) The area of the base of the cylinder is 25π

Question: what is the largest possible volume of the cube?Statement 1: The volume of the cylinder is 100πSince we have the volume of the cylinder so with same volume many cylinders are possible but in each of them the volumes of cubes will also be different

Only one case will be obtained in which the volume of the cube will be maximum hence this statement is

SUFFICIENT

Statement 2: The area of the base of the cylinder is 25πHeight of the cylinder is unknown which also restricts the biggest possible cube that can be fit into the cylinder hence

NOT SUFFICIENT

Answer: option A

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