Question

A tree harvester estimates the trunk of a tree to have a height of about 36 meters and a base diameter of about 0.5 meter. The wood of the tree has a density of about 610 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred. in kilograms

Answer 1

The mass of wood is 4309.65 kg.

Explanation:

Volume of a cylinder is:

`V = \pi r^(2) h`

Where
`r` is the radius of base of cylinder

and
`h` is the height of the cylinder

`r=(d)/(2)`

`d` is the diameter of base of cylinder.

A tree's trunk is in the shape of cylinder only. And we are given the following details:

`d = 0.5m\\\Rightarrow r = (0.5)/(2) m`

`h =36 m`

`V = \pi ((0.5)/(2))^2 * 36\\\Rightarrow V = 7.065\ m^3`

Density of wood of tree = 610 kg per cubic meter

Mass of trunk = Volume
`*` density

`\Rightarrow 610 * 7.065\\\Rightarrow 4309.65\ kg`

Hence, mass of trunk is 4309.65 kg.