MCQ practice · SSC Higher Mathematics Board questions · Chapter 13: Solid Geometry
A cylinder and a right circular cone have equal heights and equal bases. What is the ratio of their volumes?
Think it through first, then pick an option.
- a 1 : 2
- b 1 : 3
- c 2 : 1
- d 3 : 1
Answer and explanation
Correct answer: d 3 : 1
Cylinder : cone = πr²h : (1/3)πr²h = 3 : 1.
Why the other options are wrong
- a 1 : 2: 1 : 2 is not correct; the cylinder's volume is 3 times the cone's.
- b 1 : 3: 1 : 3 is cone : cylinder; the question names the cylinder first.
- c 2 : 1: 2 : 1 is not correct; the factor is 3, not 2.
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