Parametrize the Surface S $$S \text { is the portion of the cylinder } x ^ { 2 } + y ^ { 2 } = 25 \text { that lies between } z = 7 \text { and } z = 8 \text {. }$$

Parametrize the surface S.
- $$S \text { is the portion of the cylinder } x ^ { 2 } + y ^ { 2 } = 25 \text { that lies between } z = 7 \text { and } z = 8 \text {. }$$