Recent content by sushifan

Didn't know that. I'm new here. And apologies for the late reply, I fell asleep.

My textbook unfortunately does not come with an answer key. :[ And I'm doing my calculation right now, too.

Well I'm not sure what numerical value you got for your answer. You said you got twice my answer; do you mean twice my answer (56, 197.12) from my very first post? Because that answer was wrong, since I used 9.8 for gravity and not 32. So, I'm redoing the entire calculation. It would help if...

Ah, I have to take the integral twice to cover both sides of the parabola. That's what I forgot.

I thought of my radius as x units as we traveled vertically on the y-axis, so I rewrote the given function in terms of y. Could you share your set up of the problem? Maybe it's me who's making the mistake! I'm actually unsure of my solution.

Is there any way that you can tell me if my solution is in the right direction?

Oh, right! It's 32ft/sec^2, right?

1. Homework Statement A large tank is designed with ends in the shape of the region between the curves y =(1/2)x^2 and y = 12, measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of 8 ft with gasoline. (Assume the gasoline's density is 42.0 lb/ft^3)...

Yeah, that was just a typo. I already solved the problem, though.

I took your advice and solved the indefinite integral and then I computed the original limits of integration. It came out to 2pi^2! Thanks a lot!

For the second integral, I get 2π^2 for my answer...but then I have 8π/3 for the first integral... Oh, and sorry about the bump.

Bump...

The problem's instructions says that I can only use discs or shells, so I have to use integration. Pappus is off limits, especially since I never learned it.

There's no answer provided in the book since this is an even numbered problem. But someone on a different forum told me the answer should be 2π^2. He used Theorem of Pappus, though, and I'm limited to discs and shells.

So...does anyone have advice for my solution?