A certain pine tree maintains the shape of a cone. When the base of the tree is 28 ft in diameter, the diameter of the base is growing at the rate of 2 ft/year. At the same time, the tree is 60 ft tall and its height is growing at the rate of 4 ft/ year. At what rate is the volume of the tree changing at that time? Assume no space between the branches or pine needles, in other words the volume is cone shaped.
A certain pine tree maintains the shape of a cone. When the base of the tree is 28 ft in diameter, the diameter of the base is growing at the rate of 2 ft/year. At the same time, the tree is 60 ft tall and its height is growing at the rate of 4 ft/ year. At what rate is the volume of the tree changing at that time? Assume no space between the branches or pine needles, in other words the volume is cone shaped.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:A certain pine tree maintains the shape of a cone. When the base of the tree is 28 ft in
diameter, the diameter of the base is growing at the rate of 2 ft/year. At the same time, the
tree is 60 ft tall and its height is growing at the rate of 4 ft/ year. At what rate is the volume
of the tree changing at that time? Assume no space between the branches or pine needles, in
other words the volume is cone shaped.
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