Posted by **may** on Wednesday, December 3, 2008 at 1:00am.

water drains fromteh conical tank shown in the figure at the rate of 5 ft^3/min.

a. what is the relation between the variables h and r?

b. how fast is the water level dropping when h =6ft?

- 12th Calculus -
**drwls**, Wednesday, December 3, 2008 at 1:12am
Since you have not provided the figure, you need to tell us the height of the water when the flow rate is 5 ft^3/min. Then one can calculate what it will be for other heights. It should be proportional to the height h.

If the tank is conical, and the tip of the cone is at the bottom, r at the top of the water should be proportional to h at the top of the water. If the volume flow rate is Q, that equals pi*r^2* dh/dt, where dh/dt is the rate the water level is falling

## Answer this Question

## Related Questions

calculus - Water is poured into a conical tank 6m across the top and 8m deep at ...

calculus - A conical tank has height 3m and radius 2m at the top. Water flows in...

Calculus 1 - Water is leaking out of an inverted conical tank at a rate of 12,...

calculus - Water is leaking out of an inverted conical tank at a rate of 10,000 ...

Calculus - An inverted conical tank is being filled with water, but it is ...

Calculus - Water is leaking out of an inverted right conical tank at a rate of 0...

Calculus - Water is leaking out of an inverted conical tank at a rate of 0.0142 ...

calculus - A conical tank has height 3 m and radius 2 m at the top. Water flows ...

calculus - A 24ft high conical water tank has its vertex on the ground and ...

math - Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/...