Q. 25

# 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?

A. 163

B. 263

C. 363

D. 463

Answer :

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 V_{1} be the volume of the Cubical Ice-cream brick.

Volume of Cube is given by: a^{3} (where a is the edge length)

∴ V_{1} = a^{3} = 22^{3}

Let V_{2} be the Volume of the Ice-cream Cone.

Volume of Cone is given by: × π × r^{2} × h (where r is the radius of the base and h is the edge height of the cone)

∴ V_{2} = × π × r^{2} × h = × π × 2^{2} × 7

Here,

V_{1} = n × V_{2}

∴ 22^{3} = n × × π × 2^{2} × 7

n = = = 363

∴ 363 Children can get ice cream cones.

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