WAEC Mathematics 1991 (August) Question 14

Question 14

Mensuration of Solids

A cylinder of base radius 4cm is open at one end. If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder.

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

Answer: D (8cm)

Explanation

πr2 : 2πrh = r : 2h = 1 : 4, so 2h = 4r and h = 2r = 8cm.