Find the volume of the solid obtained by rotating the region bounded by y = 9 x 2 , x = 2 , x = 3 and y = 0 , about the x -axis.

Question

Find the volume of the solid obtained by rotating the region bounded by   y = 9 x 2  ,   x = 2  ,   x = 3   and   y = 0  , about the   x  -axis.

Bradford T. · Accepted Answer

f(x) = 9x2V = π∫ba(f(x))2dx = π∫3281x4dx = 17091π/5 cubic units

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