Question

A hemispherical water bottle of internal diameter 48 cm contains some liquid. This liquid is to be filled into cylindrical shaped bottles each of radius 4 cm and h = 12 cm. Find the number of bottles necessary to empty the water bottle.

• A. 24
• B. 34
• C. 20
• D. 14

Answer 1

Answer: (A)

24

Volume of the $x$ bottle = Volume of the hemisphere
$\pi r^{2}hx=1/2\times 4/3\times \pi R^3$

Inner radius R of the bottle $=48/2=24$ cm

$x=\frac{2/3\times 24\times 24\times 24}{4\times 4\times 12}=\frac{13824}{576}$

$x=24$

$\therefore$ Number of bottles $=24$