WAEC Mathematics 2026 Question 41

Question 41

Mensuration of Solids

A cone has a base radius of 12 cm and height of 24 cm. The volume of the cone is equal to the volume of a cylindrical tank with a base radius 6 cm. Calculate the height of the tank. [Take π = 22/7]

  1. A.48 cm
  2. B.16 cm
  3. C.32 cm
  4. D.8 cm
Show the answer and explanation

Answer: C (32 cm)

Explanation

⅓π × 144 × 24 = π × 36 × h, so 1152 = 36h and h = 32 cm.