Find the Area of the Surface Generated by Revolving the Curves

question 206

Multiple Choice

Find the area of the surface generated by revolving the curves about the indicated axis.
- $x = t + \sqrt { 30 } , y = \frac { t ^ { 2 } } { 2 } + \sqrt { 30 } t , - \sqrt { 30 } \leq t \leq \sqrt { 30 } ; y$ -axis

• A) \(\frac { 1330 } { 3 } \pi\)
• B) \(1330 \pi\)
• C) \(532 \pi\)
• D) \(\frac { 2660 } { 3 } \pi\)