WAEC Mathematics 2014 Question 50

Question 50

Mensuration of Solids

The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in P is 10 cm high, what would be the height of the same quantity of water in Q?

  1. A.2.5 cm
  2. B.5.0 cm
  3. C.7.5 cm
  4. D.20.0cm
Show the answer and explanation

Answer: A (2.5 cm)

Explanation

πr2 × 10 = π(2r)2 × h = 4πr2h, so h = 10/4 = 2.5 cm.