calculus

posted by .

6. A trough is in the shape of a triangular prism. It is 5 feet long and its vertical cross sections are isosceles triangles with base 2 feet and height 3 feet. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. At any time t, let h be the depth and V be the volume of water in the trough.
a. Find the volume of the water in the trough when it is full.
b. What is the rate of change in h at the instant when the trough is ΒΌ full by volume?

  • calculus -

    uio9

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The trough is in the shape of a triangular prism. It is 5 ft long and its vertical cross sections are isosceles triangles with base 2ft and height 3ft. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. …
  2. math

    The trough is in the shape of a triangular prism. It is 5 ft long and its vertical cross sections are isosceles triangles with base 2ft and height 3ft. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. …
  3. calculus

    A trough is 12 feet long and 3 feet across at the top. It ends are isosceles triangles with a height of 3 feet. If water is being pumped into the trough at 2.5 cubic feet per minute, how fast is the water level rising when the water …
  4. calculus

    the cross section of a 5-ft long trough is an isosceles trapezoid with a 2 foot lower base, a 3-foot upper base, and an altitude of 2 feet. water is running into the trough at a rate of 1 cubic foot per minute. how fast is the water …
  5. Calculus

    A trough is 12 ft long and has ends that are isosceles triangles that are 1 ft high and 1.5 ft wide. If the trough is being filled at a rate of 11 cubic feet per minute, how fast is the height of the water increasing when the height …
  6. calculus

    They're actaully 2 question :D 1.find the rate of change of the distance between the orgin and a moving point on the graph of y=x^2+1 if dx/dt=2 centimeters per second when x=1. 2.A triangular trough is 12 feet long and 3 feet across …
  7. math

    A trough is 11 feet long and has ends that are isosceles triangles that are 1 foot high and 2 feet wide. If the trough is being filled at a rate of 9 cubic feet per minute, how fast is the height of the water increaseing when the height …
  8. geometry

    A sandpit in the shape of a rectangular prism has length 7 feet, width 5 feet, and height 1.75 feet. It is filled to the brim with sand. Joe puts this sand into a second sandpit having the same shape but a larger base. He needs 17.5 …
  9. Geometry

    A sandpit in the shape of a rectangular prism has length 7 feet, width 5 feet, and height 1.75 feet. It is filled to the brim with sand. Joe puts this sand into a second sandpit having the same shape but a larger base. He needs 17.5 …
  10. calculus

    A trough is 6 feet long and has ends that are isosceles triangles that are 1 foot high and 3.5 feet wide. If the trough is being filled at a rate of 9 cubic feet per minute, how fast is the height of the water increaseing when the …

More Similar Questions