CAT 1994 — QA Question 6
Basics of Mensuration/PrismEasy
A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal to their diameters. Then their volumes are proportional, respectively to
Answer & solution
Correct answer: 1 : 3 : 1
1 : 3 : 1
- B
2 : 1 : 3
- C
3 : 2 : 1
- D
1 : 2 : 3
Solution
If the diameters and the heights of a cone and a cylinder are same, then the volume of cone is always 1/3rd the volume of the cylinder.
So the ratio of the volume of cone to the volume of cylinder = 1 : 3.
The only answer choice that supports this is (a).