Find the volume of the solid obtained by rotating the region bounded by y = x 2 , y = 0 , and x = 2 , about the y -axis.

Question

Find the volume of the solid obtained by rotating the region bounded by   y = x 2   ,   y = 0  , and   x = 2 ,   about the   y  -axis.

Yefim S. · Accepted Answer

v = 2π∫02x·x2dx = πx4/202 = 8π

1 Expert Answer