Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The length of the side of a cube is 4.2 cm. What is the volume of the largest sphere that can be taken out of the cube?

Options:

26.40 cm3

20.50 cm3

38.80 cm3

48.60 cm3

Correct Answer:

38.80 cm3

Explanation:

We know that,

Volume of a sphere = \(\frac{4}{3}\)πr3 

The length of the side of a cube = 4.2 cm. 

Diameter = 4.2 cm

Radius = 2.1 cm3

Now, the volume of the sphere =  \(\frac{4}{3}\) × \(\frac{22}{7}\) × (2.1)3 = 38.80 cm3