### Home > CALC > Chapter 7 > Lesson 7.2.3 > Problem 7-86

7-86.

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 in terms of

*.*

Since the radius changes as the height changes, do NOT 'plug in' any values yet.

Implicitly differentiate with respect to time, .