Posted: November 3rd, 2015

Mathematics

Mathematics

• 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.

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