UPSC CDS Math Volume and Surface Area Questions

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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]
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Question : 18 of 104
 
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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]
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