Activity Overview
Liquid flows into a vase at a constant rate, sketch a graph of height vs time. Ever thought of actually doing this experiment to help students see that their sketch graphs really are correct? This activity links to a YouTube video so students can collect the data and use this to verify their sketch graph.
Objectives
- Application of the chain rule to related rates,
- Solids of revolution of a region about the coordinate axis
Vocabulary
- Solid of revolution,
- Rate,
- Related rates
About the Lesson
Students start by sketching a graph that corresponds to a jug being filled. The YouTube video of the jug provides a timer and scale to measure the time and height with a good level of accuracy. An image is then used to assist students to model the shape of the vase, generate a function for the volume in terms of the height by using a solid or revolution. This function is then used to validate the video observations. The image in the activity documents must be loaded on to student’s TI-84CE calculator, the image is the same as the jug being filled in the video.