SOLUTION: Ref. Question 1061872 Follow-up; A tree in California is 315 ft. high, 84 ft. in circumference, and 26.75 ft. in diameter. Compute board ft. of 1 in. thick lumber. Not sure ho

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Ref. Question 1061872 Follow-up; A tree in California is 315 ft. high, 84 ft. in circumference, and 26.75 ft. in diameter. Compute board ft. of 1 in. thick lumber. Not sure ho      Log On

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Question 1061905: Ref. Question 1061872 Follow-up;
A tree in California is 315 ft. high, 84 ft. in circumference, and 26.75 ft. in diameter. Compute board ft. of 1 in. thick lumber.
Not sure how to proceed. Non-homework question.
Located additional info;
Volume = d - 4 * d / 2 * L / 8

d = diameter in inches
L = length
My attempt;
26.75 * 12 = 320.64 in.

3320.64 - 4 = 316.64
316.64 / 2 = 158.32
316.64 * 158.32 * 315 / 8 = 1973886.264 = 1973886
Answer given is lower. Where am I correct? Thanks.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
A board foot = 1 * 1 * (1/12) = 1/12 cubic feet
:
Diameter of tree = 84 / pi = 26.738 feet
:
Volume of tree = (1/3) pi * (26.738 / 2)^2 * 315 = 58957.223 cubic feet
:
Note the tree is assumed to be a cone - in practice the calculation is much more complex
:
board feet = 58957.223 / (1/12) = 707486.68
: