JAMB Mathematics 1997 Question 31

Question 31

Mensuration of Solids

A cone with the sector angle of 45° is cut out of a circle of radius r cm. Find the base radius of the cone.

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

Answer: B (r/8cm)

Explanation

The arc of the sector becomes the base circumference: (45/360) × 2πr = 2πR, so R = r/8.