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|dw:1444430760699:dw| That looks right - is there a reason you shifted the cylinder up by 3 units?
It describes a cylinder perfectly, I was just wondering why you shifted up by 3 units.
If you didn't want to shift up/down at all, you would rewrite \(z\) like this: $$ -h/2 \le z \le h/2 $$
or can you rewrite it correctly for me pleaseeee
The point (0,3) is a point on the cylinder with radius 3, so the equation that describes the cylinder is: $$ x^2+y^2=3^2 $$ Because the circle is on the x-y plane. The height is described like you had - $$ -h/2 \le z \le h/2 $$ |dw:1444432304328:dw|
The big difference I think in your interpretation is that I think (0,3) is on the cylinder wall, you think it's the center of the cylinder. If this is to be rotated about the y-axis to make a cylinder, the point (0,3) makes more sense as being on the cylinder wall. Hopefully, this makes sense.
go ahead and please post your question