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    • Question

      The volume of a sphere is 288π cm³. What will be its

      surface area?
      A 188π cm² Correct Answer Incorrect Answer
      B 123π cm² Correct Answer Incorrect Answer
      C 155π cm² Correct Answer Incorrect Answer
      D 144π cm² Correct Answer Incorrect Answer

      Solution

      ATQ,

      Volume of sphere = (4/3) × π × r³

      [Where ‘r’ is the radius]

      So, 288π = (4/3) × π × r³

      Or, r³ = 216

      Or, r = 6 cm

      Area of sphere = 4 × π × r² = 4 × π × 6 × 6 = 144π cm²

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