Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If the total surface area of a sphere of radius r cm is equal to the total surface area of a cube of side s cm, which of the following is true?

Options:

r > s

r ≥ s

r = s

r < s

Correct Answer:

r < s

Explanation:

We have,

Total surface area of a sphere = 4πr2

Total surface area of a cube = 6a2

We have,

According to the question,

4πr2 = 6s2

= 44r2 = 21s2

= r2 : s2 = 21 : 44

So the, value of r will be in between 4 and 5 and the Value of s will be between 6 and 7

So, from this we can say r < s