Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volume of a sphere is 288π cm3 . Find its surface area.

Options:

114π cm2

124π cm2

134π cm2

144π cm2

Correct Answer:

144π cm2

Explanation:

We know that,

Volume = \(\frac{4}{3}\) πr3 

Surface area = 4πr2 

We have,

The volume of a sphere = 288π cm3

Now, According to the question,

288π  = \(\frac{4}{3}\) πr3 

= 72 × 3 = r

= r = 6

Surface area = 4π (6)2  = 4π × 36  = 144π cm2