Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A hemispherical bowl whose radius is 21 cm is full of ice cream. Find the volume of the ice cream. (take $π =\frac{22}{7}$)

Options:

20000 cm3

21000 cm3

22000 cm3

19404 cm3

Correct Answer:

19404 cm3

Explanation:

We know that,

The volume of Hemisphere = \(\frac{2}{3}\)πr3 

Radius = 21 cm

 According to the question,

 Volume of ice cream =  Volume of Hemisphere

= \(\frac{2}{3}\)πr3 = \(\frac{2}{3}\)π × (21)3 

= \(\frac{2}{3}\) × \(\frac{22}{7}\) × 21 × 21 × 21

= 2 × 22 × 21 × 21 = 19404