A hemispherical bowl of internal radius 18 cm contains a liquid. The liquid is filled in small cylindrical bottles of internal radius 3 cm and internal height 4 cm. What is the number of bottles used to empty the bowl?

Explanation

Volume of hemispherical bowl = \frac{2}{3}\pi R^3 = \frac{2}{3}\pi(18)^3. Volume of one cylindrical bottle = \pi r^2 h = \pi(3)^2(4) = 36\pi. Number of bottles = \frac{\frac{2}{3}\pi \times 5832}{36\pi} = \frac{3888}{36} = 108.

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