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ArbitrLikvidat [17]
3 years ago
9

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?
Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
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
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