Question

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?

Answer 1

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

                                                            C = 2πr

                                                            r = C/2π

Substituting the known values,

                                                            r = 4.5/2π = 0.716 m

Then, we calculate for the volume through the equation,

                                                            V = πr2h

                                                V = π(0.716 m)2(8m) = 12.9 m3

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

                                                Mass = (12.9 m3)(752 kg/m3) = 9699.36 kg