The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 5000 lb. Assuming the density of water is 62.4 lb/ft3, how many cubic feet can the trough hold without exceeding this limitation? What is the value of h, the depth of water that exerts a fluid force of 5000 lb? What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h? h The maximum volume is ft³. Round down to the nearest cubic foot.) The value of h is Round to two decimal places as needed.) (-6,10) (0,h) y (ft) (6,10) 5 y=3x x (ft) 0 End view of trough 10 ft/ 34 ft 12 ft Dimensional view of trough

The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 5000 lb. Assuming the density of water is 62.4 lb/ft3, how many cubic feet can the trough hold without exceeding this limitation? What is the value of h, the depth of water that exerts a fluid force of 5000 lb? What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h? h The maximum volume is ft³. Round down to the nearest cubic foot.) The value of h is Round to two decimal places as needed.) (-6,10) (0,h) y (ft) (6,10) 5 y=3x x (ft) 0 End view of trough 10 ft/ 34 ft 12 ft Dimensional view of trough