15-8 Triple Integrals in Cylindrical Coordinates.sagews

var('t z')
cylindrical_plot3d(2, (t, 0, 2*pi), (z, 0, 2))    # The Sage default has r(theta, z):

(t, z)

3D rendering not yet implemented

# A more familiar approach requires a "transformation"
var('r theta z')
cylindrical = (r*cos(theta), r*sin(theta), z)
plot3d(2, (r, 0, 5), (theta, -pi, pi), transformation = cylindrical)

(r, theta, z)

3D rendering not yet implemented

# z = r
plot3d(r, (r, 0, 5), (theta, -pi, pi), transformation = cylindrical)

3D rendering not yet implemented

# z = theta
plot3d(theta, (r, 0, 5), (theta, -2*pi, 2*pi), transformation = cylindrical)

3D rendering not yet implemented

#r = theta
cylindrical_plot3d(theta, (theta, 0, 6*pi), (z, 0, 10), plot_points = [100, 10])

3D rendering not yet implemented