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UPSC CDS Math Volume and Surface Area Questions

Consider the following for the next three (03) items:
A cube is inscribed in a sphere. A right circular cylinder is with in the cube touching all the vertical faces, A right circular cone is in side the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

[2019 CDS-I]

Question : 18

Total: 104

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
If S is the sum of the cubes of the dimensions of the cuboid and V is its volume, then w hat is (S - 3V) equal to ?

[2019 CDS-I]

572 cm3
728 cm3
1144 cm3
None of the above

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