JAMB Mathematics 2014 Question 30

Question 30

Mensuration of Solids

A cylindrical tank has a capacity of 6160 m3. What is the depth of the tank if the radius of its base is 28m? [π = 22/7]

  1. A.2.5 m
  2. B.8.0 m
  3. C.7.5 m
  4. D.5.0 m
Show the answer and explanation

Answer: A (2.5 m)

Explanation

V = πr2h, so h = 6160 ÷ ((22/7) × 784) = 6160 ÷ 2464 = 2.5 m.