The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of
5800lb
. Assuming the density of water is
62.4l(b)/(f)t^(3)
, 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
5800lb
? 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
? (Type an exact answer, using radicals as needed.)

Question

The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of

5800lb

. Assuming the density of water is

62.4l(b)/(f)t^(3)

, 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

5800lb

? 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

? (Type an exact answer, using radicals as needed.)

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