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. How many children will get ice-cream cones?

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300

363

200

253

answer is B.

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Detailed Solution

Given that A cubical ice-cream brick of edge

22 cm

and ice-cream cones of radius

2 cm

and height

7 cm

.
We have the following formulae,
Volume of cone =

13 × π × r 2 × h

Volume of cuboid =

l × b × h

Considering the no. of children as X.
Volume of ice cream bricks will be equal to the product of the volume of cone and the number of children.

22 × 22 × 22 = 13 × 227 × 2 × 2 × 7 × x

10648 = 13 × 227 × 2 × 2 × 7 × x

∴ x = 363

Thus, 363 children will get ice-cream cones.
Therefore the correct option is 2.

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