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WAEC Mathematics 1995 Question 28

Question 28

Mensuration of Solids

A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.

  1. A.3cm
  2. B.6cm
  3. C.9cm
  4. D.12cm
  5. E.More information is needed.
Show the answer and explanation

Answer: B (6cm)

Explanation

Set 4/3 πr³ = 4πr²; dividing by 4πr² gives r/3 = 1, so r = 3 cm and the diameter is 6 cm.