Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Radius of hemisphere is thrice than that of sphere. What is the ratio of Total surface area of hemisphere to that of sphere?

Options:

27 : 4

29 : 4

30 : 4

25 : 4

Correct Answer:

27 : 4

Explanation:

r = radius of hemisphere

R = radius of sphere

 

r = 3R

\(\frac{r}{R}\) = \(\frac{3}{1}\)

 

T.S.A. (Total Surface Ares) of hemisphere = 3\(\pi \)r2

                                         T.S.A. of sphere = 4\(\pi \)R2

Ratio ⇒   3\(\pi \) × (3)2    :     4\(\pi \) × (1)2 = 27  :   4