Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volume of the hemisphere is 19,404 cm3. The radius of the hemisphere is __________.

Options:

14 cm

19 cm

21 cm

17 cm

Correct Answer:

21 cm

Explanation:

We know that,

Curved surface area of hemisphere = 2πr2

Total Surface area of hemisphere = 2πr2 + πr2 = 3πr2

Volume of hemisphere = \(\frac{2}{3}\) πr3

\(\frac{2}{3}\) πr3 = 19404

= r = 21 cm

So, the total surface area = 3 × \(\frac{22}{7}\) × (21)= 4158 cm