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 its brim. The number of children who will get the ice cream cones is

1. 163

2. 263

3. 363

4. 463

Edge of cubical ice cream brick (a) = 22 cm

Volume = a³ = (22)³ = 10648 cm³.

Radius of ice cream cone (r) = 2 cm and height (h) = 7 cm.

Volume of one cone = $\dfrac{1}{3}$πr²h

= $\dfrac{1}{3}$ x $\dfrac{22}{7}$ x 2 x 2 x 7

= $\dfrac{22 \times 4}{3}$

= $\dfrac{88}{3}$ cm³.

Number of cones (n) = $\dfrac{\text{Vol. of ice cream brick}}{\text{Vol. of cone}}$

$n = \dfrac{10648}{\dfrac{88}{3}} \\[1em] = \dfrac{10648 \times 3}{88} \\[1em] = \dfrac{31944}{88} \\[1em] = 363.$

Hence, Option 3 is the correct option.