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.

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