This question was on my test and the answer was 3,272,500.
A tank is in the shape of a right circular cone of altitude 25 feet and base radius 20 feet with its vertex at the ground. (Think of an ice cream cone with its point facing down.) The tank is externally braced to prevent its falling over. If the tank is full of a fluid which weighs 50 pounds per cubic foot, find the work done, in foot pounds, correct to the nearest hundred footpounds, in pumping all of the fluid out of the top of the tank.
I know that the Volume of a cone= 1/3(pie)r^2h
I tried working the problem in the same manner as the spherical cylinder in the book except I used 1/3(pie) as opposed to just pie. I think the problem is my calculations of the radius being incorrect. The definite integral I came up with was
25
Int (1/3)(50)(pie)x(40-x)^2
0
as my r^2 of the ith interval was (40ci -ci^2)
Again help is greatly appreciated.
2006-06-22
06:28:33
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3 answers
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asked by
Anonymous