A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 15 ft and radius 6 ft. Set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 11 ft. Let the variable of integration be the vertical distance up from the center line of the tank. 6 ft 11 ft 15 ft .....

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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Need help must give me the integral required to calculate the volume please
A gasoline tank is in the shape of a right circular cylinder
(lying on its side) of length 15 ft and radius 6 ft. Set up an
integral that represents the volume of the gas in the tank
if it is filled to a depth of 11 ft. Let the variable of
integration be the vertical distance up from the center
line of the tank.
6 ft
11 ft
15 ft
Set up the integral required to calculate the volume.
SO
V =
dx
-6
(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 15 ft and radius 6 ft. Set up an integral that represents the volume of the gas in the tank if it is filled to a depth of 11 ft. Let the variable of integration be the vertical distance up from the center line of the tank. 6 ft 11 ft 15 ft Set up the integral required to calculate the volume. SO V = dx -6 (Type exact answers, using radicals as needed.) ......
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