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I want to plot surface f(x,y) below

f(x,y) = x^2
x = rcos(theta)
y = rsin(theta)
(theta, 0, 2*pi)
(r, 0, 1 - cos(theta))

I tried this:

theta, r = var('theta r')
x = r*cos(theta)
y = r*sin(theta)
parametric_plot3d((x, y, x^2), (theta, 0, 2*pi), (r, 0, 1 - cos(theta)))

but i got error.

In wolfram, i can plot this surface by this code below.

x = r*Cos[t]
y = r*Sin[t]

ParametricPlot3D[
    {x, y, x^2},
    {t, 0, 2*Pi},
    {r, 0, 1 - Cos[t]}
]

I want to plot surface f(x,y) below

f(x,y) = x^2
x = rcos(theta)
y = rsin(theta)
(theta, 0, 2*pi)
(r, 0, 1 - cos(theta))

I tried this:

theta, r = var('theta r')
x = r*cos(theta)
y = r*sin(theta)
parametric_plot3d((x, y, x^2), (theta, 0, 2*pi), (r, 0, 1 - cos(theta)))

but i got error.

In wolfram, i can plot this surface by this code below.

x = r*Cos[t]
y = r*Sin[t]

ParametricPlot3D[
    {x, y, x^2},
    {t, 0, 2*Pi},
    {r, 0, 1 - Cos[t]}
]

I want to plot surface f(x,y) below

f(x,y) = x^2
x = rcos(theta)
y = rsin(theta)
(theta, 0, 2*pi)
(r, 0, 1 - cos(theta))

I tried this:

theta, r = var('theta r')
x = r*cos(theta)
y = r*sin(theta)
parametric_plot3d((x, y, x^2), (theta, 0, 2*pi), (r, 0, 1 - cos(theta)))

but i got error.

In wolfram, i can plot this surface by this code below.

x = r*Cos[t]
y = r*Sin[t]

ParametricPlot3D[
    {x, y, x^2},
    {t, 0, 2*Pi},
    {r, 0, 1 - Cos[t]}
]

I want to plot surface f(x,y) f(x,y) below

f(x, y) = x^2 
 x^2
x = rcos(theta) 
 r*cos(theta)
y = rsin(theta) 
 r*sin(theta)
(theta, 0, 2*pi) 
 2*pi)
(r, 0, 1 - cos(theta))  
cos(theta))

theta, r = var('theta r')
x = r*cos(theta)
y = r*sin(theta)
parametric_plot3d((x, y, x^2), (theta, 0, 2*pi), (r, 0, 1 - cos(theta)))

x = r*Cos[t]
y = r*Sin[t]

ParametricPlot3D[
    {x, y, x^2},
    {t, 0, 2*Pi},
    {r, 0, 1 - Cos[t]}
]