A cubical ice-cream brick of edge 22 cm is to be distributed among some children by filled ice-cream cones of radius 2 cm and height 7 cm up to its brim. How many children will get the ice-cream cones?
Given: Cubical ice-cream brick of edge 22.
Ice-cream cone of radius 2 cm and height 7 cm.
Let ‘n’ be the number of students who get ice-cream cones.
Let V1 be the volume of the Cubical Ice-cream brick.
Volume of Cube is given by: a3 (where a is the edge length)
∴ V1 = a3 = 223
Let V2 be the Volume of the Ice-cream Cone.
Volume of Cone is given by: × π × r2 × h (where r is the radius of the base and h is the edge height of the cone)
∴ V2 = × π × r2 × h =
× π × 22 × 7
Here,
V1 = n × V2
∴ 223 = n × × π × 22 × 7
n = =
= 363
∴ 363 Children can get ice cream cones.