WAEC Mathematics 1995 Question 31

Question 31

Mensuration of Solids

A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?

  1. A.3½cm
  2. B.7cm
  3. C.10½cm
  4. D.14cm
  5. E.21cm
Show the answer and explanation

Answer: B (7cm)

Explanation

The arc becomes the base circumference: 120/360 × 2π × 21 = 2πr, so r = 21/3 = 7 cm.