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31 January, 10:52

A cylindrical tree trunk is 14 yards high from the ground up to the lowest branch, and it measures 4 yards around. What is the volume of wood in this section of the trunk?

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  1. 31 January, 13:50
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    The volume of the cylindrical figure is given by:

    V=πr^2h

    Given that the circumference of the figure is 4 yds, the radius will be:

    C=2πr

    4=2πr

    hence;

    r=4 / (2π)

    r=0.64 yds

    Therefore the volume of the cylinder will be:

    V=π*0.64^2*14

    =17.83 cubic yards
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