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 thatrepresents 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 fromthe center line of the tank.5 ft8 ft14 ftSet up the integral required to calculate the volumedx-5(Type exact answers, using radicals as needed.)

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Asked Aug 19, 2019
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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.)
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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.)

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Expert Answer

Step 1

Let x be the vertical distance up from the center line of tank ,

And since, radius is 5ft.

So,

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x2y225 t/25-r2

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Step 2

So, width of a rectangul...

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2/25-x2

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