WAEC Mathematics 2018 Question 14

Question 14

Mensuration of Solids

The surface area of a sphere is 792/7 cm2. Find, correct to the nearest whole number, its volume [Take π = 22/7]

  1. A.113 cm3
  2. B.131 cm3
  3. C.311 cm3
  4. D.414 cm3
Show the answer and explanation

Answer: A (113 cm3)

Explanation

4 × 22/7 × r² = 792/7 gives r² = 9, r = 3. Volume = 4/3 × 22/7 × 27 ≈ 113 cm³.