微积分数学题,求体积find the volume of the solid whose base is the reg

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微积分数学题,求体积
find the volume of the solid whose base is the region bounded by y=x^4,y=1,and the y-axis and whose cross-sections perpendicular to the x-axis are semicircles.
volume=?

It seems the solid is the result of rotating the area bounded by y = x^4, y = 1, and y-axis (9n 1st quadrant) around y = 1 by 180 degrees.
y = 1 and y = x^4, x^4 = 1, x = 1
At x (0

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