1a.Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.

y = 3x2, y = 18x − 6x2

b.Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

xy = 4, x = 0, y = 4, y = 6

c.Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4.

y = 2x4, y = 0, x = 1

d.Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.

27y = x3, y = 0, x = 6

y = 3x2, y = 18x − 6x2

b.Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

xy = 4, x = 0, y = 4, y = 6

c.Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4.

y = 2x4, y = 0, x = 1

d.Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8.

27y = x3, y = 0, x = 6

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