Find the Area of the Surface Generated by Revolving the Curve

question 31

Multiple Choice

Find the area of the surface generated by revolving the curve about the y-axis. $$y = \sqrt [ 3 ] { x } + 10,1 \leq x \leq 1,000$$

• A) \(\frac { 91 ^ { \frac { 3 } { 2 } } + 5 ^ { \frac { 3 } { 2 } } } { 27 } \pi\)
• B) \(\frac { 901 ^ { \frac { 3 } { 2 } } - 10 ^ { \frac { 3 } { 2 } } } { 27 } \pi\)
• C) \(\frac { 90,001 ^ { \frac { 3 } { 2 } } - 5 ^ { \frac { 3 } { 2 } } } { 27 } \pi\)
• D) \(\frac { 90,001 ^ { \frac { 3 } { 2 } } - 10 ^ { \frac { 3 } { 2 } } } { 27 } \pi\)
• E)\(\frac { 90,001 ^ { \frac { 3 } { 2 } } + 10 ^ { \frac { 3 } { 2 } } } { 27 } \pi\)

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