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.

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