JAMB Mathematics 1991 Question 46

Question 46

Mensuration of Solids

Find the volume of the figure above.

Diagram for this question
  1. A.(πa2/3)(x + 3y)
  2. B.πa2y
  3. C.(πa2/3)(y + x)
  4. D.(½πa2x + y)
Show the answer and explanation

Answer: A ((πa2/3)(x + 3y))

Explanation

The solid is a cylinder (radius a, height y) with a cone (radius a, height x) on top. Volume = πa2y + ⅓πa2x = (πa2/3)(x + 3y).