A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl?

36

We know that,

Volume of hemisphere = \(\frac{2}{3}\)πr³

Volume of cylinder = πr²h 

We have,

Radius of bowl = 6 cm

Diameter of small cylindrical bottles = 2 cm

Height of cylindrical bottles = 4 cm

= Volume of hemispherical bowl = \(\frac{2}{3}\) × 3.14 × = 452.16 cm³

= Volume of cylindrical bottles = 3.14 × 1² × 4 = 12.56 cm³

Number of bottles required = \(\frac{452.16 }{12.56 }\) = 36