13-14 Water flowing into trapezoidal trough Jhun Vert Thu, 05/07/2020 - 06:14 pm

Problem 13
A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If water flows in at 10 ft3/min, find how fast the surface is rising, when the water is 6 in deep.
 

Problem 14
For the trough in Problem 13, how fast the water surface is rising when the water is 1 foot deep.
 

04-05 Water flowing into triangular trough Jhun Vert Thu, 05/07/2020 - 02:57 pm

Problem 04
A triangular trough 10 ft long is 4 ft across the top, and 4 ft deep. If water flows in at the rate of 3 ft3/min, find how fast the surface is rising when the water is 6 in deep.
 

Problem 05
A triangular trough is 10 ft long, 6 ft wide across the top, and 3 ft deep. If water flows in at the rate of 12 ft3/min, find how fast the surface is rising when the water is 6 in deep.
 

03 Water flowing into rectangular trough Jhun Vert Thu, 05/07/2020 - 02:53 pm

Problem 03
A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows in at the rate of 12 ft3/min.