Problema Solution
the volume of wood in a tree(v)varies directly as the height(h) and inversely as the square of the girth (g). If the volume of a tree is 144 cubic meters when the height is 20 meters and the girth is 1.5 meters, what is the height of the tree with a volume of 1000 and girth of 2 meters?
Answer provided by our tutors
let 'h' represent the height of the tree with a volume of 1000 and girth of 2 meters
v = C* (h/(g^2)), where C is constant
C = v*(g^2)/h
144*(1.5^2)/20 = 1000*(2^2)/h
by solving we find:
h = 246.91 m
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the height of the tree is 246.91 meters.