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| PAGE: 502 | SET: Exercises | PROBLEM: 22 |
The diameter of the circular end of the tank is 
.
The cylindrical tank has horizontal axis.
The gasoline weighs 
.
The cylindrical tank is fully filled.
Consider the depth of the tank is 
.
The standard form of circle equation is 
.
Consider the center of the circular end of the tank is at origin.
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 
.
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