MCQ practice · SSC Higher Mathematics Board questions · Chapter 13: Solid Geometry
What is the ratio of the volumes of a right circular cone and a cylinder standing on the same base and having the same height?
Think it through first, then pick an option.
- a 1 : 3
- b 3 : 1
- c 1 : 2
- d 1 : 1
Answer and explanation
Correct answer: a 1 : 3
Cone : cylinder = (1/3)πr²h : πr²h = 1 : 3.
Why the other options are wrong
- b 3 : 1: 3 : 1 is cylinder : cone; the question names the cone first.
- c 1 : 2: 1 : 2 is cone : hemisphere (a part of Example 6's ratio), not cone : cylinder.
- d 1 : 1: A ratio of 1 : 1 would mean equal volumes; the cone has a factor (1/3).
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