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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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One of the important question for the board exam class 10 from mensuration chapter.

This question is from r d sharma class 10 maths.

chapter-16 question number-11 maths r d sharma,mensuration.

In this question we have to find 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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1 Answer

  1. Given,

    The radius of each spherical lead shot = r = 4/2 = 2 cm

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

    Edge of the cube = 44 cm

    Volume of the cube = 443 cm3

    Thus,

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

    = 44 x 44 x 44/ (4/3 π 23)

    = 2541

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