Find the Area of the Surface Generated by Revolving the Curve

question 60

Multiple Choice

Find the area of the surface generated by revolving the curve about the x-axis. $y = \frac { 1 } { 7 } x ^ { 3 } , 0 \leq x \leq 7$

• A)\(\left( 442 ^ { \frac { 3 } { 2 } } + 1 \right) \pi\)
• B)\(\frac { 7 \left( 64 ^ { \frac { 3 } { 2 } } + 1 \right) } { 51 } \pi\)
• C) \(\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } - 1 \right) } { 27 } \pi\)
• D) \(\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } - 1 \right) } { 51 } \pi\)
• E)\(\frac { 7 \left( 442 ^ { \frac { 3 } { 2 } } + 1 \right) } { 27 } \pi\)

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