A cube with side length P cm P \text{ cm} P cm is inscribed inside a sphere of radius R cm R \text{ cm} R cm such that the sphere touches all the vert...

Question

A cube with side length P cmP \text{ cm} is inscribed inside a sphere of radius R cmR \text{ cm} such that the sphere touches all the vertices of the cube. Find the ratio of the total surface area of the sphere to the lateral surface area of the cube.

Options

A.

33:1733 : 17

B.

33:1933 : 19

C.

31:1731 : 17

D.

33:1433 : 14

geometrysurface areaspherecubemensuration

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