math
posted by jonh .
A trough is 2 feet wide and 8 feet long with a crosssection that is triangular (equilateral). Water is being pumped in at 2 gallons per minute. How fast is the depth rising when it is 3 inches deep? How fast is the depth rising when it is 6 inches deep? When the depth is 1 foot, the inflow rate changes. If it is rising at 1 foot per minute at that time, what is the new rate that water is being poured into the trough? [Youâ€™ll need to use the fact that 1 cubic foot is approximately 7.48 gallons.]
Respond to this Question
Similar Questions

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. … 
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. … 
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 … 
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 … 
calculus
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 … 
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 … 
Calculus
A trough is triangular in cross section, an isosceles triangle with sides of 12 inches, and a top of 10 inches. The trough is 40 inches long. How fast is the depth changing if you are pumping one cubic foot per minute into the trough? 
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 … 
Calculus
A water trough is 9 m long and has a crosssection in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 80 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.3 m3/min … 
Differential Calculus
A water trough is 10 m long and a cross section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If trough is being filled with water at the rate of 0.2 m^3/min …