# Peruvian marinera

Calculus Level 4

Let there be a region $$R:\{(x,y) \ | \ x^{1/4}+y^{4} \leq 1\}$$. What is the volume of the solid generated when $$R$$ is rotated around the line $$x=0?$$ Give your answer to 3 decimal places.


Note: You may use a calculator for the final step of your calculation.

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