Question

Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of cones that can be used in this way is

Accepted Answer

C. Volume of cylinder $= \pi R^2 H = \pi (17.5)^2 	imes 32$. Volume of one cone $= \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi (2)^2 	imes 7$. $$	ext{Number of cones} = \frac{\pi (17.5)^2 	imes 32}{\frac{1}{3} \pi 	imes 4 	imes 7} = \frac{306.25 	imes 32 	imes 3}{28} = 1050$$

Cylinder to Cones Volume

Explanation

Practise this under exam conditions