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2 January, 11:22

A tree harvester estimates the trunk of a tree to have a height of about 38 meters and a base diameter of about 0.62 meter. The wood of the tree has a density of about 520 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred.

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  1. 2 January, 11:49
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    Answer: Mass of trunk = 6100 kg

    Step-by-step explanation:

    The trunk of the tree is cylindrical. We would apply the formula for determining the volume of a cylinder is expressed as

    Volume = πr²h

    Where

    h represents the height of the cylinder.

    r represents the radius of the cylinder.

    π is a constant whose value is 3.14

    From the information given

    Height = 38 meters

    Diameter of circular base = 0.62 meters.

    Radius = diameter/2 = 0.62/2 = 0.31 meters

    Therefore,

    Volume of trunk = 3.14 * 0.31² * 38 =

    11.47 m³

    Mass = density * volume

    Mass of the trunk = 520 kilograms per cubic meter

    Mass of trunk = 520 * 11.47 = 6056.16 kg

    Rounding to the nearest hundred,

    Mass of trunk = 6100kg
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