An ice cream brick is of the dimension 12 cm × 12 cm × 20 cm. The scoops are spherical in shape with a diameter of 5 cm. Then, find the number of scoops of ice cream that can be taken out of the brick.

The dimension of the ice cream brick = 12 cm × 12 cm × 20 cm.

The diameter of the scoops = 5 cm

⇒ The radius of the scoops = 2.5 cm

⇒ The volume of one spherical scoop of the ice-cream = $\frac{4}{3}{\mathrm{\pi r}}^3$

Number of scoops = $\frac{Volume of the ice-cream brick}{Volume of one spherical scoop}$

= $\frac{12\times 12\times 20}{{\displaystyle \frac{4}{3}}\times \mathrm{\pi }\times {\left(2.5\right)}^3}$

= $\frac{12\times 12\times 20\times 3}{4\times \mathrm{\pi }\times {\left(2.5\right)}^3}$

= $44$