Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?

Options:

11.50 cm3

1.15 cm3

11.55 cm3

115 cm3

Correct Answer:

11.50 cm3

Explanation:

Length of the side of the square = 2.8 cm

Length of cube = Diameter of sphere

The volume of sphere = \(\frac{4}{3}\)πr3

Diameter of sphere = 2.8 cm 

Radius of sphere = 1.4 cm 

The volume of sphere = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (1.4)3 = 11.50 cm3