# 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.