Calculus: Filling the Urn

Objectives

• Work with linked graphical and physical representations of the related rates of change of volume and height of fluid in a vessel

About the Lesson

The Filling_the_Urn.tns TI-Nspire document provides for a graphical investigation of related rates. The physical context is the filling of an urn with liquid depicted in a window on the left side of the illustration. The associated graph represents the height of liquid in the urn as a function of the amount of liquid in the urn. The shape of the urn determines the characteristics of this graph.