Find the Area of the Surface Generated by Revolving the Curve

question 178

Multiple Choice

Find the area of the surface generated by revolving the curve about the indicated axis.
- $y = x ^ { 3 } / 9,0 \leq x \leq 2$ ; $x$ -axis

• A) \(\frac { 98 } { 81 } \pi\)
• B) \(\frac { 256 } { 27 } \pi\)
• C) \(98 \pi\)
• D) \(\frac { 1163 } { 2187 } \pi\)

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A sticky film of bacteria and substances they produce, which accumulates on teeth and can lead to dental caries and gum disease if not regularly removed.