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Gnoma [55]
3 years ago
12

7 the density of the american white oak tree is 752 kilograms per cubic meter. if the trunk of an american white oak tree has a

circumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk?
Physics
1 answer:
alexdok [17]3 years ago
3 0

First, we determine the volume of the trunk by finding first the radius from the circumference through the equation,

<span>                                                            C = 2πr</span>

<span>                                                            r = C/2π</span>

Substituting the known values,

<span>                                                            r = 4.5/2π = 0.716 m</span>

Then, we calculate for the volume through the equation,

<span>                                                            V = πr2h</span>

<span>                                                V = π(0.716 m)2(8m) = 12.9 m3</span>

Multiplying the calculated value to the density will give the mass as,

<span>                                                Mass = (12.9 m3)(752 kg/m3) = <span>9699.36 kg</span></span>

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