A Circular Plate of Radius R Feet Is Submerged Vertically $w$

Multiple Choice

A circular plate of radius r feet is submerged vertically in a tank of fluid that weighs $w$ pounds per cubic foot. The center of the circle is $k ( k > r )$ feet below the surface of the fluid. The fluid force on the surface of the plate is given by $F = w k \left( \pi r ^ { 2 } \right)$ Find the fluid force on the circular plate as shown in the figure given $a = 5$ feet and $b = 2$ feet. Round your answer to one decimal place.

A) $5,489.0 \mathrm { lbs }$
B) $34,306.2 \mathrm { lbs }$
C) $6,861.2 \mathrm { lbs }$
D) $784.1 \mathrm { lbs }$
E) $2,352.4 \mathrm { lbs }$