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...
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.
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)...
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.