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29 June, 11:50

How many spheres of diameter 10cm can fit in a cylindrical jar of radius 15cm and height 20cm?

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  1. 29 June, 12:19
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    The answer to your question is 3.38 spheres fit in the jar

    Step-by-step explanation:

    Data

    Sphere diameter = 10 cm

    Cylindrical jar

    radius = 15 cm

    height = 20 cm

    Formula

    Volume sphere = 4/3 πr³

    Volume cylinder = πr²h

    Process

    1.-Find the volume of the sphere and the volume of the cylinder

    Volume sphere = 4/3π (10) ³ = 1333.33π cm³

    Volume cylinder = π (15) ² (20) = 4500π cm³

    2. - Divide the volume of the cylinder by the volume of the sphere

    Number of spheres = 4500 π / 1333.33 π

    = 3.38
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