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      Question

      The volume of a hemisphere is 2425 (1/ 2)

      cm3. Find its diameter (Take p = 22/7)
      A 18 Correct Answer Incorrect Answer
      B 10.5 Correct Answer Incorrect Answer
      C 21 Correct Answer Incorrect Answer
      D 16 Correct Answer Incorrect Answer

      Solution

      Let the radius of the hemisphere be R ┬а (2/3) x (22/7) ├Ч R3 = 2425.5 (2/3) ├Ч (22/7) x R┬│ = (4851/2) ┬а (2/3) ├Ч (22/7) x R┬│ = (99 x 49)/2 R┬│ = (3 x 3 x 11 ├Ч 7 ├Ч 7 ├Ч 3 ├Ч 7)/ (2 x 2 x 2 x 11) R┬│ = (3 ├Ч 3 ├Ч 3 ├Ч 7 ├Ч 7 ├Ч 7)/ (2 x 2 x 2) R = (3 x 7)/2 R = 10.5 cm. 2R=21cm The radius of the hemisphere is 21cm cm

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