Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the volume of largest sphere which is perfectly fits in a cylinder of radius 7 cm and height 20 cm?

Options:

1437.33 cm³

1468 cm³

1598.2 cm³

1555.667 cm³

Correct Answer:

1437.33 cm³

Explanation:

 

The radius of the largest sphere inside the cylinder = radius of cylinder.

Therefore,

radius of cylinder = 7 cm

Volume of cylinder = \(\frac{4}{3}\)\(\pi \) (r)³ =\(\frac{4}{3}\) × \(\frac{22}{7}\) × (7)³ = \(\frac{4}{3}\) × 22 × 49 = 1437.33 cm