WAEC Mathematics 1988 Question 40

Question 40

Mensuration of Solids

A cone is made from a sector of a circle of radius 14cm and angle of 90°. What is the area of the curved surface of the cone? (Take π = 22/7)

  1. A.22cm2
  2. B.38.5cm2
  3. C.77cm2
  4. D.154cm2
  5. E.308cm2
Show the answer and explanation

Answer: D (154cm2)

Explanation

The curved surface of the cone is the sector itself: 90/360 × 22/7 × 142 = 154 cm².