# A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filling ice-cream cones of radius 2 cm and height 7 cm up to the brim.

Question:

A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filling ice-cream cones of radius 2 cm and height 7 cm up to the brim. How many children will get the ice-cream cones?
(a) 163
(b) 263
(c) 363
(d) 463

Solution:

(c) 363
The edge of the cubical ice-cream brick = a = 22 cm

Volume of the cubical ice-cream brick $=(a)^{3}$

$=(22 \times 22 \times 22) \mathrm{cm}^{3}$

Radius of an ice-cream cone = 2 cm
Height of an ice-cream cone = 7 cm

Volume of each ice-cream cone $=\frac{1}{3} \pi r^{2} h$

$=\left(\frac{1}{3} \times \frac{22}{7} \times 2 \times 2 \times 7\right) \mathrm{cm}^{3}$

Number of ice-cream cones $=\frac{\text { Volume of the cubical ice cream brick }}{\text { Volume of each ice cream cone }}$

$=\frac{22 \times 22 \times 22 \times 3 \times 7}{22 \times 2 \times 2 \times 7}$

$=363$

Hence, the number of ice-cream cones is 363.