Question

A solid sphere is perfectly inscribed inside a cube, and

Q: A solid sphere is perfectly inscribed inside a cube, and a right circular cylinder is placed inside

StatementIIfthevolumeofthecubeis343cubiccmwecandeterminethesidelengthofthecubesincesidevolumeFromthesidelengthwecancalculatetheradiusofthesphereandthedimensionsofthecylinderHoweverthisinformationalonedoesnotdirectlygiveusthesurfaceareaofthecylinderwithoutadditionalinformationaboutitsheightStatementIIKnowingthattheheightofthecylinderisequaltothediameterofthespherehelpsusdeterminetherelationshipbetweenthedimensionsofthecylinderandthecubeCombinedwiththeradiuswhichishalfthesidelengththisstatementgivesusenoughinformationtocalculatethesurfaceareaofthecylinderCombiningbothstatementsTogetherwecandetermineboththeradiusandtheheightofthecylinderwiththegivenconditionswhichissufficienttocalculatethesurfaceareaAnswerCBothstatementstogetheraresufficientbutneitherstatementaloneissufficient

a right circular cylinder is placed inside the cube such that it touches all the faces of the cube. What is the total surface area of the cylinder? Statements I: The volume of the cube is 343 cubic cm. Statements II: The height of the cylinder is equal to the diameter of the sphere.

A Statement I alone is sufficient but statement II alone is not sufficient.

B Statement II alone is sufficient but statement I alone is not sufficient.

C Both statements together are sufficient, but neither statement alone is sufficient.

D Each statement alone is sufficient.

E Statements I and II together are not sufficient.

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Question

A solid sphere is perfectly inscribed inside a cube, and

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