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April 21, 2014

April 21, 2014

Posted by **Anonymous** on Friday, August 27, 2010 at 12:13am.

Now suppose you own a stand of trees whose pulp can be used for making paper. The amount of wood pulp you can produce from a tree increases as the tree’s volume increases. The model approximates a tree without its branches as a right circular cone. The formula for the volume of the tree then becomes V = (1/3)πr^2h.

Substituting the formula for height of a tree in the formula for volume of a tree, the new formula for volume becomes

- precalc -
**Reiny**, Friday, August 27, 2010 at 8:39amtaking your formulas at face value and guessing that

the strange symbol is supposed to be π,

sub h = kr^2/3 into V = (1/3)πr^2h

to get

V = (1/3)πr^2(kr^2/3)

= (1/9)kr^4

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