Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Determine the total surface area of a hemisphere closed at bottom. Radius of the hemisphere is $\sqrt{\frac{25}{\pi}}$ unit.

Options:

75 unit2

70 unit2

60 unit2

50 unit2

Correct Answer:

75 unit2

Explanation:

We know that,

TSA of hemisphere = 3πr2 

We have,

Radius of the hemisphere = $\sqrt{\frac{25}{\pi}}$ unit.

According to the question,

TSA = 3π [$\sqrt{\frac{25}{\pi}}$]2 

= TSA = 3π × \(\frac{25}{ π }\) = 3 × 25 = 75 unit2