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 v

Question

vlada-n [284]

3 years ago

9

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 v

olume of wood in this section of the trunk?

Mathematics

1 answer:

Len [333] · Answer 1 · 2021-11-15T13:16:20+03:00

Len [333]3 years ago

5 0

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