What is the radius of a sphere having vo

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the radius of a sphere having volume of 4851cm³? (Use π=22/7)

Options:

12.5 cm

10.5 cm

9.5 cm

11.5 cm

Correct Answer:

10.5 cm

Explanation:

The volume of sphere = 4851cm³

We know that the volume of the sphere = $\frac{4}{3}$ πr³

$\frac{4}{3}$ πr³= 4851

$\frac{4}{3}$ × $\frac{22}{7}$ × r³= 4851

r³= 4851 × $\frac{3}{4}$ × $\frac{7}{22}$

r³= 1157.625

r = 10.5 cm