A Cylindrical Sewer Pipe of Radius $\frac { 1 } { 2 }$

Multiple Choice

A cylindrical sewer pipe of radius $\frac { 1 } { 2 }$ foot is half full of water of density 62.5 pounds per cubic foot. A gate used to seal off the sewer is placed perpendicular to the pipe opening. The force, in pounds, due to hydrostatic pressure on one end of the gate is

A) $\frac { 250 } { 3 }$
B) $\frac { 500 } { 3 }$
C) $1,125$
D) $\frac { 1,000 } { 3 }$
E) $\frac { 125 } { 24 }$