A cube is divided into 8 equal smaller cubes. On one face of each smaller cube, nine identical circles of the largest possible radius are drawn. The s...

Question

A cube is divided into 8 equal smaller cubes. On one face of each smaller cube, nine identical circles of the largest possible radius are drawn. The sum of the diameters of two such circles is 8 units. Find one third of the maximum volume of the cylinder that can fit inside the original cube.

Options

A.

None of these

B.

120π120 \pi

C.

320π320 \pi

D.

1152π1152 \pi

E.

1145π1145 \pi

mensurationcylindercubevolumegeometry

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