A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6cm and height 3 cm. The number of bottles required to empty the bowl is:
Answer & explanation
Correct answer: option 4
Internal diameter of the hemisphere = 18 cm
Then radius = 9 cm
Diameter of the cylinder = 6 cm
then radius = 3 cm
So, let the number of the bottles that are required to empty the bowl = n
Now, according to the question,
\(\frac{2}{3}\)πr3 = n × πR2H
= \(\frac{2}{3}\)πr3 = n × πR2H
= = \(\frac{2}{3}\)(9)3 = n × (3)2(3)
= n = 18