Question

A cylindrical tree trunk is 14 yards high from the ground up to the lowest branch, and it measures 4 yards around. What is the volume of wood in this section of the trunk?

Answer 1

The volume of the cylindrical figure is given by:
V=πr^2h
Given that the circumference of the figure is 4 yds, the radius will be:
C=2πr
4=2πr
hence;
r=4/(2π)
r=0.64 yds

Therefore the volume of the cylinder will be:
V=π*0.64^2*14
=17.83 cubic yards