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marcus768

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## Homework Statement

I am taking a calc 2 class and I'm studying for finals. I've got this problem i need to figure out and I am having a tough time with it. if someone could give me some guidance in solving this I would greatly appreciate it. I am not looking for answers to this assignment - I would really like to understand how this problem is working, since similar problems will presumably be on the final. If anyone could help guide me through this I would really appreciate it.

A cylindrical gas tank with radius 4ft. and length 22ft is buried on its side.

-Develop an integral that could be used to find the volume of gas in the tank and number of gallons of gas in the tank, given the depth of the gasoline level h

- Test the integral by using it to find the amount of gas in the tank (by vol in cubic ft and gallons) for h=8 ft (full) h=4ft h=0ft h=6 ft

## Homework Equations

I am trying to see if I can set up my integral in a way where it is not dependent on height. V=(pi)(r)^2L is what I have been trying. I am trying to set up my integral in disc format. V=(integral sign) pi[f(x)]^2dx

## The Attempt at a Solution

So what I've been trying to do is first create a function with the V=(pi)(r)^2L formula. Since the radius is given, and the length is given also, where is my variable? Is my radius (4-x)? I guess I am having trouble understanding how to set up the integral. When it comes to evaluating the integral, I am fine. i really need to understand this concept, I am not looking for answers.

any help is appreciated very much, thank you