Question

A hemispherical bowl of internal diameter $36$ cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius $3$ cm and height $9$ cm. How many bottles are required to empty the bowl?

• A. $24$
• B. $35$
• C. $12$
• D. $48$

Answer 1

Answer: (D)

$48$

Let number of bottles required be ${}^{\prime }{n}^{\prime }$. Then

Volume of bowl $=n$ $\times$ volume of 1 bottle

$\Rightarrow \frac{2}{3}\pi R^3=n\times \pi r^{2}h\Rightarrow \frac{2}{3}\times {\left(18\right)}^3=n\times 3\times 3\times 9$

$\Rightarrow n=\frac{2\times 18\times 18\times 18}{3\times 3\times 3\times 9}=48$