Question

A hemispherical bowl of internal diameter $36$ cm is full of some liquid. This liquid is to be filled in cylindrical bottles of radius $3$ cm and height $6$ cm, then no. of bottles needed to empty the bowl

• A. $36$
• B. $72$
• C. $18$
• D. $144$

Answer 1

The correct option is B $72$

Radius of the bowl $=\frac{36}{2}=18cm$

Volume of the bowl $=\frac{2}{3}\pi r^3=\frac{2}{3}\times \pi \times 18\times 18\times 18{cm}^3$

Volume

of a Cylinder of Radius "R" and height "h" $=\pi R^{2}h$





Hence, Volume of one cylindrical bottle, $=\pi \times 3\times 3\times 6$

Hence, number of bottled required $

= \dfrac {Volume of bowl} {Volume of each bottle} = \dfrac{\dfrac {2}{3} \times \pi \times 18 \times 18 \times

18}{ \pi \times 3 \times 3 \times

6} = 72 $