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      Question

      Given that the surface area of a sphere is 201.06 cm²,

      calculate its volume.
      A 162.19 cm³ Correct Answer Incorrect Answer
      B 268.19 cm³ Correct Answer Incorrect Answer
      C 285.48 cm³ Correct Answer Incorrect Answer
      D 321.11 cm³ Correct Answer Incorrect Answer

      Solution

      ATQ,

      Surface area of sphere = 4 × π × radius²

      So, 4 × (22/7) × radius² = 201.06

      Or, radius² = 16.03

      Or, radius = ± 4.0

      But radius cannot be negative. So, radius = 4.0 cm

      Volume of sphere = (4/3) × π × radius³

      = (4/3) × (22/7) × 4.0³

      = 268.19 cm³

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