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      Question

      Find the number of silver balls of diameter 2 cm each,

      that can be made from a sphere of diameter 32 cm?
      A 2048 Correct Answer Incorrect Answer
      B 512 Correct Answer Incorrect Answer
      C 4096 Correct Answer Incorrect Answer
      D 1028 Correct Answer Incorrect Answer

      Solution

      Radius of the sphere = 16 cm Volume of the sphere = 4/3 πr³ = (4/3 × π×16×16×16) cm³ Radius of each silver ball = (4/3 ×π×1×1×1) = 4/3 πcm³ Now, number of silver balls = volume of sphere / Radius of each silver ball Number of silver balls = [4/3 π × 16 × 16 × 16]/4/3 π = 4/3 π ×16×16×16 × 3/4π =163 = 4096

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