Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The total surface area of a solid hemisphere is 16632 cm2 . Its volume is: (Take π=22/7)

Options:

145232 cm3

140232 cm3

150032 cm3

155232 cm3

Correct Answer:

155232 cm3

Explanation:

We know that,

Total surface area = 3πr2

We have,

TSA of Hemisphere = 16632 cm2

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

So,

= 3 × π × r2 = 16632

= r2 = 5544 × \(\frac{7}{22}\)

= r= 1764 

= r = 42 cm

Volume = \(\frac{2}{3}\) πr3

= \(\frac{2}{3}\) × \(\frac{22}{7}\) × 423

= 155232 cm3