A conical cup of radius 5 cm and height 15 cm is leaking water at the rate of 2 cm^3/min. What rate is the level of water decreasing when the water is 3 cm deep?
1 Answer
The "shape" of the water itself will be an upside down cone as well. If
By using similar triangles (draw a picture), we get
Differentiating both sides of this equation with respect to time results in
Hence, at that moment,