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