Posted by **Maya** on Thursday, June 21, 2012 at 6:34am.

A tank, with a rectangular base and having vertical sides of height 4 m, is initially full of water. The water leaks out of a small hole in the horizontal base of the tank at a rate which, at any instant, is proportional to the square root of the depth of the water at that instant.

If x is the depth of water at time t after the leak started, write down a differential equation connecting x and t. If the tank is exactly half empty after one hour, find the further time that elapses before the tank becomes completely empty.

## Answer This Question

## Related Questions

- Physics II - A large cylindrical water tank 11.5 m in diameter and 13.5 m tall ...
- Physics - Suppose there is a small hole (radius=0.0203) at the base of a large ...
- Calculus - Calculate the work (in joules) required to pump all of the water out ...
- calculus - Calculate the work (in joules) required to pump all of the water out ...
- Calculus/physics - Calculate the work (in joules) required to pump all of the ...
- math - A rectangular tank of base 2.4 m by 2.8 m and a height of 3 m contain 3,...
- calculus - Calculate the work (in joules) required to pump all of the water out ...
- Physics - A tank of water sits at the edge of a table of height 1.4 m. The tank...
- physics - A tank full of water has a height H = 12:5 m. A small hole is drilled ...
- solid mensuration - Find the volume of water in the horizontal tank if it is 7/...

More Related Questions