JAMB Mathematics 1988 Question 45

Question 45

Mensuration of Solids

In the figure above, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid.

Diagram for this question
  1. A.18πcm3
  2. B.36πcm3
  3. C.54πcm3
  4. D.108πcm3
Show the answer and explanation

Answer: B (36πcm3)

Explanation

Cone: ⅓π × 3² × 6 = 18π. Hemisphere: ⅔π × 3³ = 18π. Total = 36π cm³.