Question 46
Mensuration of SolidsFind the volume of the figure above.

- A.(πa2/3)(x + 3y)
- B.πa2y
- C.(πa2/3)(y + x)
- 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).