integral pumping liquid question<-need help

[caseclosed]

Your town has decided to drill a well to increase its water supply. As the town engineer, you have determined that a water tower will be necessary to provide the pressure needed for distribution, and you have designed the system shown below. The water is to be pumped from a 300-ft well through a vertical 4-in. pipe into the base of a cylindrical tank 20ft in diameter and 25 ft high. The base of the tank will be 60 ft above ground. The pump is a 3-hp pump, rated at 1650 ft*lb/sec. How long will it take to fill the tank the first time? (Include the time it takes to fill the pipe) (62.5 lb = 1 ft^3)

 

I tried to do them separtely then add the work to fill the pip and tank up.

for the pipe I got 4*pi*62.5*(360y-y^2/2) from the interval 0 to 360

for the tank I got 100*pi*62.5*(25y-y^2/2) from interval 0 to 25

 

at the end I get like 9 hours to fill the whole thing which must be wrong. please help me, I think I probally did the distance or the interval wrong but how...

[insane_alien]

*sniff* *sniff* smells of homework

[caseclosed]

*sniff* *sniff* smells of homework

maybe you could be more helpful than that. Any problem could be homework then we should not discuss anything here and therefore do nothing here in my opionion.

 

sorry but I take that as an offensive message.

[the tree]

Still, this isn't the homework forum.

 

Now then, without having looked at the numbers yet, 9 hours sounds a reasonable amount of time to fill a reasonably sized water tank so what makes you so sure that it's wrong?

[caseclosed]

it is not homework, I found this to be interesting in the book and I want to know if I did it right. because I set the distance as 360-x which seem odd to me cause the interval is 0-360... and 9 hours is even more odd, really take 9 hours to fill such thing? how is that reasonable. lol

[CanadaAotS]

well the tank itself is more then 3100 cubic feet of water. It could take 9 hours. BTW, I don't see why people couldn't help with this question. If he already got an answer, then he must've done the work.

 

I would help myself but I'm only half way through calculus lol.

[caseclosed]

still need help if anyone is wondering

[s pepperchin]

How did you set up the problem? I would determine the equation for the area of the tank and pipe as a function of height, then I would just integrate over the limits from zero to the top of the tower. This will help you get started if you need more help post again and I'll give you some more direction. Also it would be nice to see your work. If it is wrong than we might be able to tell you where to correct instead of starting over every time.