Find the Area of the Surface Generated by Revolving the Curve

question 73

Multiple Choice

Find the area of the surface generated by revolving the curve about the indicated axis.
- $x = 3 \sqrt { 4 - y } , 0 \leq y \leq 15 / 4$ ; y-axis

• A) \(\frac { 125 } { 2 } \pi\)
• B) \(\left( \frac { 125 } { 2 } - 5 \sqrt { 10 } \right) \pi\)
• C) \(5 \pi \sqrt { 10 }\)
• D) \(\left( \frac { 125 } { 2 } + 5 \sqrt { 10 } \right) \pi\)

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