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Question -

How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm.



Answer -

Given,

The radius of eachspherical lead shot = r = 4/2 = 2 cm

Volume of eachspherical lead shot = 4/3 πr3 = 4/3 π 23 cm3

Edge of the cube = 44cm

Volume of the cube =443 cm3

Thus,

Number of sphericallead shots = Volume of cube/ Volume of each spherical lead shot

= 44 x 44 x 44/ (4/3 π23)

= 2541

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