Thingiverse
Solid Figure for Triple Integral Practice by stepanp21
by Thingiverse
Last crawled date: 5 years, 4 months ago
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 project at Harvard University.
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 project at Harvard University.