A tree harvester estimates the trunk of a tree to have a height of about 34 meters and a base diameter of about 0.52 meters. The wood of the tree has a density of about 770 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred.

Question

Mathematics

Amari Maldonado

22 January, 21:15

A tree harvester estimates the trunk of a tree to have a height of about 34 meters and a base diameter of about 0.52 meters. The wood of the tree has a density of about 770 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred.

+5

Answers (1)

Know the Answer?

Aydin Yates · Answer 1

Answer: 5,559.89 kilograms

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Mass = π/4 (diameter) ^2 (height) (density)

Replacing with the values given and solving for M (mass)

M = π/4 (0.52) ^2 (34) (770) = 5,559.89 kg.

The mass of the trunk is 5,559.89 kilograms

Feel free to ask for more if needed or if you did not understand something.