Question

Water is being pumped into a leaky inverted conical tank at a rate of 10 m3/h....

Water is being pumped into a leaky inverted conical tank at a rate of 10 m3/h. The tank has a height of 9 m and the diameter at the top is 6 m. If the water level is rising at a rate of 0.2 m/h when the height of the water is 6 m, how fast is the water leaking out at that time? [Recall: The volume of a cone is π/3 r^2 h

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given and .

Thus

Voulme of cone is given by

Using chain rule we get

Let be the volume of water being pumped in and be the volume of water leaking out. Then

We are given

Thus

Thus, the water leaking out at the rate of .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Water is leaking out of an inverted conical tank at a rate of 10,500 cm3/min at...
Water is leaking out of an inverted conical tank at a rate of 10,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round...
(calculus)Water is leaking out of an inverted conical tank at a rate of 12000.0 cm3/min at...
(calculus)Water is leaking out of an inverted conical tank at a rate of 12000.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 11.0 m and the the diameter at the top is 6.0 m. If the water level is rising at a rate of 15.0 cm/min when the height of the water is 2.5 m, find the rate at which water is being pumped into the tank...
water is leaking out of an inverted conical tank at a rate of 8900.0 cm^3/min at...
water is leaking out of an inverted conical tank at a rate of 8900.0 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 7. and the diameter at the top is 5.5m. If the water level is rising at a rate of 24.0 cm/min when the height of the water is 1.5 m, find the rate at which water is being pumped into the tank in cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 9300.09300.0 cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 9300.09300.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 11.011.0 meters and the diameter at the top is 6.06.0 meters. If the water level is rising at a rate of 16.016.0 centimeters per minute when the height of the water is 3.03.0 meters, find the rate at which water is being...
Water is leaking out of an inverted conical tank at a rate of 14400.0 cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 14400.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15.0 meters and the diameter at the top is 6.5 meters. If the water level is rising at a rate of 30.0 centimeters per minute when the height of the water is 5.0 meters, find the rate at which water is being...
Water is leaking out of an inverted conical tank at a rate of 60006000 cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 60006000 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 66 meters and the diameter at the top is 5.05.0 meters. If the water level is rising at a rate of 1616 centimeters per minute when the height of the water is 4.54.5 meters, find the rate at which water is being...
Water is leaking out of an inverted conical tank at a rate of 1100011000 cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 1100011000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 77 meters and the diameter at the top is 6.56.5 meters. If the water level is rising at a rate of 2525 centimeters per minute when the height of the water is 2.52.5 meters, find the rate at which water is being...
Water is leaking out of an inverted conical tank at a rate of 10200 cubic centimeters...
Water is leaking out of an inverted conical tank at a rate of 10200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 22 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being...
A. Water is being pumped into an inverted conical tank at a rate of 10.910.9 cubic...
A. Water is being pumped into an inverted conical tank at a rate of 10.910.9 cubic meters per min. The tank has height 1414 meters and the diameter at the top is 6.56.5 meters. Find the rate at which the water level is rising when the height of the water is 44 meters. B. Two cars are moving towards an intersection. One car is 160 meters north of the intersection and moving towards the intersection at 10 m/s, while the...
water is leaking out of aninverted tank at a rate of 8200.0 cubic centimeters pre min...
water is leaking out of aninverted tank at a rate of 8200.0 cubic centimeters pre min at the same time that water is being puped in the tank tank has height 15 metres and diameter at top 7 meters, if water level is rising at a rate of 29 centimeters per min when height of water is 5 meters find the rate of water pumped in tank in cubic centimeters per min
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT