Practicing Success

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