Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The total surface area of a closed hemisphere is 4158 cm2. What is the diameter of the hemisphere? [Use π = $\frac{22}{7}$]

Options:

14 cm

28 cm

42 cm

21 cm

Correct Answer:

42 cm

Explanation:

We know that,

Total surface area of a hemisphere = 3πR2 

According to the question,

= 3 × (\(\frac{22}{7}\)) × R2 = 4158

= R2 = 4158 × (\(\frac{7}{66}\))

= R= 441

= R = 21

Diameter = 2 × 21 = 42cm