Problem

$\Rightarrow 2 \pi \int_{0}^{2} \frac{y^{3}}{3} \sqrt{1+y^{4}} d y$

Answer

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Answer

Final Answer: \(\boxed{24.1179}\)

Steps

Step 1 :Calculate the definite integral: \(\Rightarrow 2 \pi \int_{0}^{2} \frac{y^{3}}{3} \sqrt{1+y^{4}} d y\)

Step 2 :Final Answer: \(\boxed{24.1179}\)

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