Calculate the Area of the Surface S $S$ Is the Portion of the Plane

question 220

Multiple Choice

Calculate the area of the surface S.
- $S$ is the portion of the plane $7 x + 8 y + 7 z = 4$ that lies within the cylinder $x ^ { 2 } + y ^ { 2 } = 1$ .

• A) \(\frac { 1 } { 7 } \pi\)
• B) \(\frac { 18 } { 7 } \sqrt { 2 } \pi\)
• C) \(\frac { 9 } { 7 } \sqrt { 2 } \pi\)
• D) \(\frac { 9 } { 7 } \sqrt { 2 }\)