# Rotational 3d

How can I rotate a function like f(x)=sqrt(x) (from 0 to3) around the x-axis? I would like to have a 3D picture of the rotational.

Thanks. Thomas

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Rotational 3d

How can I rotate a function like f(x)=sqrt(x) (from 0 to3) around the x-axis? I would like to have a 3D picture of the rotational.

Thanks. Thomas

add a comment

1

Here is the Sage command.

```
revolution_plot3d(sqrt(x),(x,0,3),(0,2*pi),show_curve=True,parallel_axis='x',opacity=0.5)
```

I sometimes do it using my own code.

```
x,theta=var('x,theta')
def Vol_Rx(f,x,theta,k):
return([x,-sin(theta)*(f(x)-k),cos(theta)*(f(x)-k)+k])
def Vol_Ry(f,x,theta,k):
return([(x-k)*cos(theta)+k,sin(theta)*(x-k),f(x)])
f(x)=sqrt(x)
a=0
b=3
p=parametric_plot3d(Vol_Rx(f,x,theta,0),(x,a,b),(theta,0,2*pi))
p+=parametric_plot3d(Vol_Rx(f,x,0,0),(x,a,b),color='red',thickness=3)
show(p)
```

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Asked: ** 2012-11-12 14:05:55 +0200 **

Seen: **106 times**

Last updated: **Nov 12 '12**

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