$\"\"$

\

The diameter of the circular end of the tank is $\"\"$ .

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The cylindrical tank has horizontal axis.

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The gasoline weighs $\"\"$ .

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The cylindrical tank is fully filled.

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Consider the depth of the tank is $\"\"$ .

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The standard form of circle equation is $\"\"$ .

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Consider the center of the circular end of the tank is at origin.

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Substitute $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The horizontal length of the tank is $\"\"$ .

\

Therefore, $\"\"$ .

\

The $\"\"$ ranges from $\"\"$ to $\"\"$ .

\

$\"\"$

\

The fluid force is $\"\"$ .

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Apply formula : $\"\"$ .

\

Apply general power rule of integration $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Fluid force on a circular end of the tank is $\"\"$ .

\

$\"\"$

\

Fluid force on a circular end of the tank is $\"\"$ .