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20 August, 16:19

The circumference of a standard baseball is about 9in. About how many square inches of horsehide are required to cover 100 balls?

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  1. 20 August, 16:45
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    This is the concept of area of solid materials, we are required to calculate the total area of horsehide that is required to cover 100 balls with each having a circumference of 9 in.

    The area of hide required will be given by:

    area = (area of each ball) * (total number of balls)

    area of each ball is given by:

    SA=4πr^2

    given that the circumference is 9in, we are required to find the radius of the ball

    Circumference, c=2πr

    thus;

    9=2πr

    r=9 / (2π)

    r=1.4 in

    Therefore the surface area will be:

    SA=4π*1.4^2=24.6 in^2

    Therefore the area of horsehide required to cover 100 balls will be:

    Area=24.6*100=2,460 in^2.
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