Consider the surface S parameterized by

S : ~r$($u$,$ v$)=3$ cos$($u$),$ v$,$ sin$($u$),0$ u $2$$,1$ v $1.$

$7.$ Identify the surface S$.$

a$.$ Ellipse

b$.$ Cylinder

c$.$ Cone

d$.$ Paraboloid

e$.$ Ellipsoid