Solid Figure for Triple Integral Practice

This is a model of the solid region defined by

*y*^2 < *z* < 9-(*x*^2+*y*^2)

It is useful practice for multivariable calculus students to think about how one might set up the integration bounds for such a solid. In particular, the cross-sections are not easy to visualize and there are no planar faces.

To interface with a physical vertical *z*-axis, there is an option to have a hole down the middle.

This model was designed as part of the [Manipulative Calculus](http://www.manipulativecalculus.com) project at Harvard University.