A sphere of radius 10.0cm is moulded into a uniform cylindrical wire of same radius r calculate length in millimeters​

Question

A sphere of radius 10.0cm is moulded into a uniform cylindrical wire of same radius r calculate length in millimeters​

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RobertKer 4 years 2021-09-05T03:20:31+00:00 1 Answers 109 views 0

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  1. Ladonna
    1
    2021-09-05T03:22:10+00:00
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    Answer:

    133.33 mm

    Explanation:

    First we need to find the volume of the sphere. The volume of a sphere is given by:

    V = (4/3) * pi * r^3

    With a radius of 10 cm, we have:

    V = (4/3) * pi * r^3 = 4188.79 cm3

    The sphere will be moulded into a cylinder, so the volume will be the same. The volume of a cylinder is:

    V = pi * r^2 * h

    Where h is the height of the cylinder, and for this case, it will be the length.

    The radius is the same old radius, so we have:

    4188.79 = pi * 10^2 * h

    h = 4188.79 / 100pi = 13.3333 cm

    In millimeters, we have h = 133.33 mm

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