The diagram shows a right circular cone with radius 10 cm and height 30 cm.
The cone is initially completely filled with water.
Water leaks out of the cone through a small hole at the vertex at a rate of 4cm³s⁻¹.
a. Show that the volume of water in the cone, Vcm³, when the height of the water is h cm is given by the formula 

b. Find the rate of change of h when h = 20.

Transcribed Image Text:

V || πh3 27