A restaurant stores ice-cream in a box with a dispenser attached for filling ice-cream cones. The dimensions of the box and the ice-cream cones used by the restaurant are shown in Figure 1 below. To make each serving of dessert, the cone is first filled with ice-cream and then topped with a hemispherical scoop of ice-cream taken from the same box, as shown in Figure 2.

(Note: The figures are not to scale.)
Approximately how many desserts can be served out of a completely filled box of ice-cream? Show your steps.
(Note: Take `pi` as `frac{22}{7}`