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

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This question is Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD for class 10.
How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm.G ive the solution of the question briefly.
This is the Question Number 20, Exercise 17.5 of M.L Aggarwal.

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  1. Edge of the cube, a = 44 cm

    Volume of cube = a3

    = 443

    = 85184 cm3

    Diameter of shot = 4 cm

    So radius of shot, r = 4/2 = 2 cm

    Volume of a shot = (4/3)r3

    = (4/3)×(22/7)×23

    = 704/21 cm3

    Number of lead shots made from cube = 85184÷(704/21)

    85184×21/704

    = 2541

    Hence the number of shots made from cube is 2541.

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