Question

Find the number of spherical lead shots , each of diameter 6 cm that can be made
from a solid cuboid of lead having dimensions 24 cm *22 cm * 12 cm.

Answer 1

HERE'S YOUR ANSWER

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Answer 2

Let the no. of lead shots be x.

length of cuboid - 24cm

breadth of cuboid - 22cm

height of cuboid - 12cm

radius - 3cm

Now,

Volume of cuboid = x * volume of 1 lead shot.

= 24 * 22 * 12 = x * 4/3 * 22/7 * 3 * 3 * 3

= 6336 = x * 792/7

= 44352 = 792x

= x = 56

THEREFORE 56 LEAD SHOTS CAN BE MADE.

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