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 persons that can be served this way is :

Solution (By Examveda Team)

Volume of cylinder :
$$\eqalign{ & = \left( {\pi \times \frac{{35}}{2} \times \frac{{35}}{2} \times 32} \right){\text{ c}}{{\text{m}}^3} \cr & = 9800\pi {\text{ c}}{{\text{m}}^3} \cr} $$
Volume of 1 cone :
$$\eqalign{ & = \left( {\frac{1}{3} \times \pi \times 2 \times 2 \times 7} \right){\text{ c}}{{\text{m}}^3} \cr & = \frac{{28\pi }}{3}{\text{ c}}{{\text{m}}^3} \cr} $$
∴ Number of persons that can be served :
$$\eqalign{ & = \left( {9800\pi \times \frac{3}{{28\pi }}} \right) \cr & = 1050 \cr} $$