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Question -

How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm × 42 cm × 21 cm.



Answer -

Given,

Radius of eachspherical lead shot = r = 4.2/ 2 = 2.1 cm

The dimensions of therectangular lead piece = 66 cm x 42 cm x 21 cm

So, the volume of aspherical lead shot = 4/3 πr3

= 4/3 x 22/7 x 2.13

And, the volume of therectangular lead piece = 66 x 42 x 21

Thus,

The number ofspherical lead shots = Volume of rectangular lead piece/ Volume of a sphericallead shot

= 66 x 42 x 21/ (4/3 x22/7 x 2.13)

1500

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