Volumes of our Models

Just as we created models for the Metrodome walls, we can postulate some models for the shape of the Metrodome roof. This can be a challenging task and makes a good class project. For now, let's assume that we are working with the model that assumes that the walls are elliptical in shape.

We will model the height of the Metrodome roof by the function

Question #4

Use the command yxgraphplot to graph this function over the domain y=-sqrt(1-(5*x/6)^2)..sqrt(1-(5*x/6)^2), x=-6/5..6/5)
Set up and solve a double iterated integral that represents the volume of air contained by our stadium model.

In your lab report, write down the double integral and explain why this represents the volume of the metrodome. Do you think that the roof function is a good model for the real metrodome roof? Support your assertion.

Up: Computing Areas and Volumes
Previous: Areas of Some Models for a Domed Stadium

Frederick J. Wicklin<fjw@geom.umn.edu>

Document Created: Sun Jan 8 1995
Last modified: Tue Jan 24 18:12:21 1995