Answer:
The mass of wood is 4309.65 kg.
Step-by-step explanation:
Volume of a cylinder is:
[tex]V = \pi r^{2} h[/tex]
Where [tex]r[/tex] is the radius of base of cylinder
and [tex]h[/tex] is the height of the cylinder
[tex]r=\dfrac{d}{2}[/tex]
[tex]d[/tex] 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:
[tex]d = 0.5m\\\Rightarrow r = \dfrac{0.5}{2} m[/tex]
[tex]h =36 m[/tex]
[tex]V = \pi (\dfrac{0.5}{2})^2 \times 36\\\Rightarrow V = 7.065\ m^3[/tex]
Density of wood of tree = 610 kg per cubic meter
Mass of trunk = Volume [tex]\times[/tex] density
[tex]\Rightarrow 610 \times 7.065\\\Rightarrow 4309.65\ kg[/tex]
Hence, mass of trunk is 4309.65 kg.