Grain pouring from a conveyor belt falls into a pile in the shape of a cone. The grain is falling at a rate of
Sketch the cone, and label the sides of similar right triangles that are formed by its radius and height.
Write a geometric equation describing the volume of the cone in terms of height.
You will have to find a way to define
Since the radius changes as the height changes, do NOT 'plug in' any values yet.
Implicitly differentiate with respect to time,