WAEC Mathematics 2024 Question 14

Question 14

Mensuration of Solids

A cylindrical metallic barrel of height 2.5 m and radius 0.245 m is closed at one end. Find, correct to one decimal place, the total surface area of the barrel. [Take π = 22/7]

  1. A.2.1 m2
  2. B.3.5 m2
  3. C.4.0 m2
  4. D.5.1 m2
Show the answer and explanation

Answer: C (4.0 m2)

Explanation

Curved surface + one end = 2πrh + πr² = 22/7 × 0.245 × (5 + 0.245) ≈ 4.04, so 4.0 m².