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      Question

      A cylinder of radius 7 cm is surmounted completely by a

      cone of same radius. Height of cylinder is 6 cm. Find the height of cone if volume of entire shape 1078 cubic cm.
      A 1 Correct Answer Incorrect Answer
      B 3 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Volume of cylinder = Ο€r2h Volume of cylinder = 1/3 Γ— Ο€r2h Total volume given = 1078 => Ο€r2h + 1/3 Γ— Ο€r2h = 1078 => 22/7 Γ— 49 Γ— (6 + 1/3 Γ— h) = 1078 => (6 + 1/3 Γ— h) = 1078/154 => h = 3

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