In this interactive figure, we explore solids that can be described using cylindrical coordinates [math]r[/math], [math]\theta[/math], [math]z[/math]. [br][br]For coordinates [math]r[/math] and [math]\theta[/math], use the sliders to fix their values between constants. The [math]z[/math]-bounds, however, will lie between two surfaces, given by [math]z=g_1\left(r,\theta\right)[/math] and [math]z=g_2\left(r,\theta\right)[/math]. It is interesting to experiment with different surfaces and see how the shape of the solid is affected. Several preloaded examples are also provided, to help you get started.