Find the volume of the solid obtained by rotating the region

Reference no: EM13961556

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

1. y = 2-(1/2)x, y = 0, x = 1, x = 2; about the x-axis

2. y = 1 - x², y = 0; about the x-axis

3. y = √(x-1), y = 0, x = 5; about the x-axis

4. y = √(125 - x²), y = 0, x = 2, x = 4; about the x-axis

5. x = 2√y, x = 0, y = 9; about the y-axis

6. y = ln x, y= 1, y = 2, x = 0; about the y-axis

7. y = x³, y = x, x≥ 0; about the x-axis

8. y = (1/4)x², y = 5 - x²; about the x-axis

9. y² = x, x = 2y; about the y-axis.

Reference no: EM13961556

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