秘鲁的马rinera

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

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

This question was posed by my calculus teacher as the last and higher value exercise on the third Calculus I test.