Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The sum of the radius and the diameter of a solid sphere is 63 cm. What will be the volume of this sphere? [Use π = $\frac{22}{7}$]

Options:

38808 cm3

39206 cm3

34604 cm3

41244 cm3

Correct Answer:

38808 cm3

Explanation:

We know that,

Volume of a sphere = \(\frac{4}{3}\)πR3

We have,

The sum of the radius and the diameter of a solid sphere = 63 cm.

Let the radius of the sphere = r.

Diameter of sphere = 2r

According to the question,

r + 2r = 63

= 3r = 63

= r = 21

The volume of the sphere = \(\frac{4}{3}\) × \(\frac{22}{7}\) × 213 = 38808 cm3