Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x², x = y²; about y = 1

Question

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2,  x = y2;  about y = 1

Yefim S. · Accepted Answer

v = π⌈01[(1 - x2)2 - (1 - √x)2]dx = 11π/30

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.