JAMB Mathematics 1984 Question 39

Question 39

Mensuration of Solids

A right circular cone has a base radius r cm and a vertical angle 2y°. The height of the cone is

  1. A.r tan y° cm
  2. B.r sin y° cm
  3. C.r cot y° cm
  4. D.r cos y° cm
  5. E.r cosec y° cm.
Show the answer and explanation

Answer: C (r cot y° cm)

Explanation

Half the vertical angle is y, and tan y = r/h. So h = r/tan y = r cot y.