Find the equation of the enveloping cylinder of the sphere #x^2+y^2+z^2-2x+4y=1# with its lines parallel to #x/2=y/3,z=0#?
Find the equation of the enveloping cylinder of the sphere
#x^2+y^2+z^2-2x+4y=1#
with its lines parallel to
#x/2=y/3,z=0#
Find the equation of the enveloping cylinder of the sphere
with its lines parallel to
1 Answer
See below.
Explanation:
The directrix is given by
with
The sphere is given by
where
Now considering
solving for
but
This is the cylindrical surface equation. After substituting numeric values
Attached a plot of the resulting cylindrical surface.