Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6cm and height 3 cm. The number of bottles required to empty the bowl is:

Options:

3

9

6

18

Correct Answer:

18

Explanation:

Internal diameter of the hemisphere = 18 cm

Then radius = 9 cm

Diameter of the cylinder = 6 cm

then radius = 3 cm

So, let the number of the bottles that are required to empty the bowl = n

Now, according to the question,

\(\frac{2}{3}\)πr3 = n ×  πR2H

= \(\frac{2}{3}\)πr3 = n ×  πR2

= = \(\frac{2}{3}\)(9)3 = n ×  (3)2(3)

= n = 18