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A cubical ice cream brick of edge length 22 cm is to be distributed among some children by filling ice cream cones of radius 2 cm and height 7 cm up its brim, how many children will get ice cream cones?

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363

366

426

246

answer is A.

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Detailed Solution

Given,
Edge length of Ice cream brick a= 22 cm
The volume of a cube with side "a" is now known to be given by

a^{3}

.
Volume of ice cream brick,

V = 22^{3}

V = 10648 c m^{3}

Suppose, there should be total ice cream cones =x
We know that,
Volume of cone

V = x \times \frac{1}{3} π r^{2} h

Given that,
Radius r = 2 cm and
Height h = 7 cm
Now,

V = x \times \frac{1}{3} π r^{2} h

\Rightarrow 10648 = x \times \frac{1}{3} \cdot π \cdot 2^{2} \cdot 7

\Rightarrow x = \frac{3 \times 10648}{3.14 \times 4 \times 7}

\Rightarrow x = 363

Thus, the correct option is 1.

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