A cylinder circumscribes a sphere. The r

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A cylinder circumscribes a sphere. The ratio of their volume is :

Options:

3 : 2

4 : 3

2 : 1

6 : 5

Correct Answer:

3 : 2

Explanation:

A cylinder circumscribes a sphere

Height of cylinder = 2 × radius of sphere

= 2r

Volume of cylinder : volume of sphere

πr²h : \(\frac{4}{3}\)πr³

r²×2r : \(\frac{4}{3}\)r³

3 : 2

The correct answer is option (1) : 3 : 2