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      Question

      What is the volume of the largest sphere that can be

      carved out of a wooden cube of sides 21 cm? (Ο€ Β = 22/7)
      A 3851 cm^3 Correct Answer Incorrect Answer
      B 6858 cm^3 Correct Answer Incorrect Answer
      C 4851 cm^3 Correct Answer Incorrect Answer
      D 5821 cm^3 Correct Answer Incorrect Answer

      Solution

      Given that sphere is curved out of a wooden cube. Here we can see that the diameter of sphere will be equal to the edge of cube. Diameter = edge of cube 2r = 21 r = 21/2 cm Volume = 4/3 Γ—Β Ο€ r3 = 4/3 Γ— 22/7 Γ— 21/2 Γ— 21/2 Γ— 21/2 = 4850 cm3

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