Find the area of surface generated by revolving the curve

Reference no: EM131010197

1. The region bounded by the curve y = x² + 2 and the straight line y = 2x + 5 is revolving about the Ox-axis to generate a solid. Find the volume of the solid.

2. The region bounded by the curve x = √y and the straight line x = 2y is revolving about the Oy-axis to generate a solid. Find the volume of the solid.

3. The solid lies between planes perpendicular to the x-axis at x = -2 and x = 2. The cross sections perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x² to the parabola y = 4 - x². Find the volume of the solid.

4. Find the length of the curve

y = (x³ /12) - (1 / x), 2 ≤ x ≤ 3.

Find the area of the surface generated by revolving the curve y = √x, 3 ≤ x ≤ 8, about the Ox-axis.

Reference no: EM131010197

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