WAEC Mathematics 2023 Question 23

Question 23

Mensuration of Solids

An empty cyclindrical tank is 140 cm in diameter. If 200 litres of water is poured into the tank, calculate, correct to the nearest centimetre, the height of water in the tank. [Take π = 22/7]

  1. A.91 cm
  2. B.57 cm
  3. C.13 cm
  4. D.7 cm
Show the answer and explanation

Answer: C (13 cm)

Explanation

200 litres = 200 000 cm³ and r = 70 cm. h = 200 000 ÷ (22/7 × 70 × 70) = 200 000 ÷ 15 400 ≈ 12.99, so about 13 cm.