7. A lidless large steel fuel tank is cylindrical in shape. To optimize storage in the truck, the total volume of the cylinder must be 2167 m³. Determine the dimensions of the tank that will minimize surface area Surface Area of a complete cylinder is: SA= 2² +2πrh Volume of a complete cylinder is: V = r²h h

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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7. A lidless large steel fuel tank is cylindrical in shape. To optimize storage in the truck, the
total volume of the cylinder must be 2167 m³.
Determine the dimensions of the tank that will minimize surface area
Surface Area of a complete cylinder is: SA= 2πr² + 2πrh
Volume of a complete cylinder is: V = πr²h
h
r
Transcribed Image Text:7. A lidless large steel fuel tank is cylindrical in shape. To optimize storage in the truck, the total volume of the cylinder must be 2167 m³. Determine the dimensions of the tank that will minimize surface area Surface Area of a complete cylinder is: SA= 2πr² + 2πrh Volume of a complete cylinder is: V = πr²h h r
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