Question

1) A cylindrical tank with a radius of 10 feet and a height of 20 feet...

1) A cylindrical tank with a radius of 10 feet and a height of 20 feet is leaking. An observer notices that the height of the tank is goinf down at a constant rate of 1 foot per second. At what rate is the water leaking our of the rank (measured in volume) when the height of the water is 5 feet? The colume of a cylinder of height h and radius is V=pi*r2*h.

a. -314

b. - 1,245

c. - 1,570

d. - 100

e. None of these

2) What are the units for the previous problem

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Raccoon City monitors the height of the water in its cylindrical water tank with an automatic...
Raccoon City monitors the height of the water in its cylindrical water tank with an automatic recording device. The tank has a radius of 20 feet. Water is constantly pumped into the tank at a rate of 2400 cubic feet per hour. If the water level was 16.05 feet at 6:59 am and 15.95 feet at 7:01 am, estimate the rate at which the residents of Raccoon City were using water at 7:00 am. Round to the nearest cubic foot...
(1 point) The tank in the form of a right-circular cone of radius 7 feet and...
(1 point) The tank in the form of a right-circular cone of radius 7 feet and height 34 feet standing on its end, vertex down, is leaking through a circular hole of radius 4 inches. Assume the friction coefficient to be c=0.6 and g=32ft/s^2. Then the equation governing the height hh of the leaking water is dh/dt= If the tank is initially full, it will take it  seconds to empty.
A cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height...
A cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height which will minimize the amount of material to be used. Note that the surface area of a closed cylinder is S=2πrh+2πr2 and the volume of a cylindrical can is V=πr2h radius =. cm height = cm
a cylindrical tank or radius 2 meters and height 7 meters is filled with water to...
a cylindrical tank or radius 2 meters and height 7 meters is filled with water to a depth of 4 meters. how much work does it take to pump all the water over the top edge of the tank?
A cylindrical oil drum is to be designed so that its height plus the diameter of...
A cylindrical oil drum is to be designed so that its height plus the diameter of its base is five feet. What is the maximum possible volume for such a drum? [V = pi r^2 h]
A paper cup in the shape of a cone with height 5 cm and radius 3...
A paper cup in the shape of a cone with height 5 cm and radius 3 cm with the point of the cone at the bottom. A small leak develops in the cup causing water to leak out at a rate of 0.1 cm3/s. Find the rate at which the height of the water in the cup changes when the depth of the water is 2 cm. Recall that the volume of a cone is v=1/3(pi)(r2)h
A tank shaped like a cone pointing downward has height 9 feet and base radius 3...
A tank shaped like a cone pointing downward has height 9 feet and base radius 3 feet, and is full of water. The weight density of water is 62.4 lb/ft^3. Find the work required to pump all of the water out over the top of the tank.
Suppose water is leaking from a tank through a circular hole of area Ah at its...
Suppose water is leaking from a tank through a circular hole of area Ah at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cAh 2gh , where c (0 < c < 1) is an empirical constant. A tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its...
A cylindrical tank of radius R is filled with a liquid of density  to a...
A cylindrical tank of radius R is filled with a liquid of density  to a height H above its bottom. It has a small hole of radius r in the mantle at distance h above its bottom. Air pressure equals p0. You are to use Bernoulli’s equation to compute the flow velocity of the fluid as it exits the hole. a) Prepare a diagram. Indicate the location of the two points that you choose when applying Bernoulli’s equation. What...
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