Find an Online Tutor Now

Zena K.

asked • 27d

Please help me answer ASAP!! Find the rate at which water is pumped in cubic centimeters per minute.

Water is leaking out of an inverted conical tank at a rate of 8300.0 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 18.0 centimeters per minute when the height of the water is 1.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. 


Note: Let "R" be the unknown rate at which water is being pumped in. Then you know that if V is volume of water, dV/dt = R - 8300.0. Use geometry (similar triangles?) to find the relationship between the height of the water and the volume of the water at any given time. Recall that the volume of a cone with base radius r and height h is given by 1/3(pi)r2h.

Round answer to the fourth decimal place.


(I have tried finding this answer multiple times but cannot get the right answer... Last answer I put was 139729.5296 and that is not correct...)

1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.