UI Post-UTME Mathematics 2022 (Model questions) Question 8

Question 8

Mensuration of Solids

A cylindrical tank has a capacity of 1540m3. What is the depth of the tank, assuming that the radius of its base is 7m?

  1. A.10m
  2. B.11m
  3. C.12m
  4. D.14m
Show the answer and explanation

Answer: A (10m)

Explanation

πr²h = 1540: (22/7) × 49 × h = 154h = 1540, so h = 10 m.