The project is worth 25 points. The in-class part of the test is worth 80 points, for
a total possible grade of 105 on Test 4.
Since extra credit is built into the project, extra credit homework will not be
collected over unit 4.
Integrals may be evaluated using the TI-83/84 or by using a table of integrals.
The Problem:
A service station plans to store gasoline in an underground cylindrical storage tank
buried on its side. The axis of the cylinder is horizontal. The tank is 6 feet in diameter
and 12 feet long. The density of the gasoline is 42 lb/ft3. 1 gallon is equivalent to 0.1337
ft3.
The station has hired your consulting firm to perform the following tasks:
Task 1: The station employees will measure the amount of gasoline remaining by
inserting a stick to measure the depth of the gasoline above the lowest part of the tank.
You need to create a table showing the number of gallons of gasoline in the tank when
the depth of the gasoline is 0 feet, 1 feet, 2 feet, 3 feet, 4 feet, 5 feet, and 6 feet.
Task 2: Determine the amount of work done in emptying a full tank by pumping all of the
gasoline to a point 6 feet above the top of the tank.