- #1
planauts
- 86
- 0
Hi, I am having a lot of trouble with this problem.
A lumberjack is preparing to cut down a large maple tree. With a chain saw, he makes a horizontal cut exactly halfway through the trunk, and then makes a second cut at 45 degrees, meeting the first cut along the diameter. Determine the volume of the wedge of wood cut out if the diameter is 0.9m.
Hint: Take the element of integration to be a vertical slice parallel to the thin edge of the wedge.
ANSWER: 0.06075 m^3
[PLAIN]http://img232.imageshack.us/img232/8066/80795462.gif
dV = (area)*(dy)
I think the area would be: r(theta) = r(pi/4) = (0.9)(pi/4)
But I am stuck after that...I don't even think I am on the right track...
Thanks for your help!
Homework Statement
A lumberjack is preparing to cut down a large maple tree. With a chain saw, he makes a horizontal cut exactly halfway through the trunk, and then makes a second cut at 45 degrees, meeting the first cut along the diameter. Determine the volume of the wedge of wood cut out if the diameter is 0.9m.
Homework Equations
Hint: Take the element of integration to be a vertical slice parallel to the thin edge of the wedge.
ANSWER: 0.06075 m^3
The Attempt at a Solution
[PLAIN]http://img232.imageshack.us/img232/8066/80795462.gif
dV = (area)*(dy)
I think the area would be: r(theta) = r(pi/4) = (0.9)(pi/4)
But I am stuck after that...I don't even think I am on the right track...
Thanks for your help!
Last edited by a moderator: