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A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and radius 5 ft. Set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 8 ft. Let the variable of integration be the vertical distance up from the center line of the tank. 5 ft 8 ft 14 ft Set up the integral required to calculate the volume dx -5 (Type exact answers, using radicals as needed.)

A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and radius 5 ft. Set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 8 ft. Let the variable of integration be the vertical distance up from the center line of the tank. 5 ft 8 ft 14 ft Set up the integral required to calculate the volume dx -5 (Type exact answers, using radicals as needed.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and radius 5 ft. Set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 8 ft. Let the variable of integration be the vertical distance up from the center line of the tank. 5 ft 8 ft 14 ft Set up the integral required to calculate the volume dx -5 (Type exact answers, using radicals as needed.)
Transcribed Image Text:A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and radius 5 ft. Set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 8 ft. Let the variable of integration be the vertical distance up from the center line of the tank. 5 ft 8 ft 14 ft Set up the integral required to calculate the volume dx -5 (Type exact answers, using radicals as needed.)
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