Question

A hemospherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are necessary to empty the bowl ?

Answer 1

radius of hemisphere= 9 cm

volume of hemisphere=$\frac{2}{3}\pi r^3=\frac{2}{3}\pi \times 9^3=486\pi$

radius of cylindrical shaped bottles=$\frac{3}{2}$ cm

height= 4 cm

volume of bottles= $=\pi r^{2}h=\pi \times (\frac{3}{2}{)}^2\times 4=9\pi$

now,

Reaquired no. of bottles$=\frac{Volumeofhemisphere}{Volumeofbottles}$

. $=\frac{486\pi }{9\pi }=54$

Hence, no. of bottles required to empty the bowl = 54