A cone and a cylinder have equal base ra

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A cone and a cylinder have equal base radius. If they have equal volume, then find the ratio of height of the cone to that of the cylinder.

Options:

1:3

3:1

1:2

2:1

Correct Answer:

1:3

Explanation:

Let the radius of the cylinder and cone = 1

and let there volume = 1

So, according to the question,

πr²H : \(\frac{1}{3}\)πr²h

= \(\frac{h}{H}\) = \(\frac{1}{3}\)