JAMB Mathematics 2001 Question 24

Question 24

Mensuration of Solids

A sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

  1. A.6cm
  2. B.7cm
  3. C.8cm
  4. D.9cm
Show the answer and explanation

Answer: A (6cm)

Explanation

The arc length becomes the base circumference: (300/360) × 2π × 7.2 = 2πr. So r = 7.2 × 300/360 = 6 cm.