GCE Mathematics 1989 Question 23

Question 23

Mensuration of Solids

Calculate the surface area of a hollow cylinder which is closed at one end, if the base radius is 3.5cm and the height 8cm. (Take π = 22/7)

  1. A.126.5cm2
  2. B.165cm2
  3. C.176cm2
  4. D.214.5cm2
  5. E.253.5cm2
Show the answer and explanation

Answer: D (214.5cm2)

Explanation

Curved surface 2πrh = 2 × 22/7 × 3.5 × 8 = 176 cm², plus one end πr2 = 22/7 × 3.52 = 38.5 cm². Total = 214.5 cm².