Question

Is there more wood in a 60​-foot-high tree trunk with a radius of 2.2 feet or in a 50​-foot-high tree trunk with a radius of 2.5 ​feet? assume that the trees can be regarded as right circular cylinders?

Answer 1

By definition, the volume of the cylinder is given by:

`V = \pi * r ^ 2 * h`
Where,
r: cylinder radius
h: cylinder height
For 60 -foot-high tree trunk with a radius of 2.2 feet:

`V1 = \pi * (2.2) ^ 2 * (60) V1 = 912.3`
For 50 -foot-high tree trunk with a radius of 2.5 feet

`V2 = \pi * (2.5) ^ 2 * (50) V2 = 981.7`
We observed that:

`V2\ \textgreater \ V1`
Answer:
there is more wood in:
50 -foot-high tree trunk with a radius of 2.5 feet