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?
Answer & explanation
Correct answer: option 4
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