WAEC Mathematics 2016 Question 34

Question 34

Mensuration of Solids

A sphere of radius r cm has the same volume as a cylinder of radius 3 cm and height 4 cm. Find the value of r.

  1. A.⅔
  2. B.2
  3. C.3
  4. D.6
Show the answer and explanation

Answer: C (3)

Explanation

⁴⁄₃πr³ = π × 3² × 4 = 36π, so r³ = 27 and r = 3.