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JEE Math Practice Question

Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is :

  1. A.2 : 5
  2. B.19 : 45
  3. C.3 : 8
  4. D.19 : 15

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