R EVOLVING REGIONS AROUND A LINE Y? FIND THE

R R EVOLVING REGIONS AROUND A LINE Y? FIND THE evolving Regions around a line y=?

Find the volume of the solid if the shaded region is revolved around the line y = 1.

Find the volume of the solid if the shaded region is revolved around the line y = -1.

Find the volume of the solid if the shaded region is revolved around the line y = 6.

R EVOLVING REGIONS AROUND A LINE Y? FIND THE

Find the volume of the solid if the shaded region is revolved around the line y = -1.

Find the volume of the solid if the shaded region is revolved around the line y = 9.

Find the volume of the solid generated by revolving the region about the given line.

1. the region in the first quadrant bounded above by the line , below by the curve y=secxtanx, and on the left by the y-axis, about the line .

R EVOLVING REGIONS AROUND A LINE Y? FIND THE

2. the region in the first quadrant bounded above by the line y=2, below by the curve y=2sinx, , and on the left by the y-axis, about the line y = 2

R EVOLVING REGIONS AROUND A LINE Y? FIND THE

3. Find the volume of the solid generated by revolving the region bounded by the parabola y=x² and the line y = 1 about:

a) the line y = 1

b) the line y = 2

c) the line y = -1

R EVOLVING REGIONS AROUND A LINE Y? FIND THE

4. Which of the integrands is used to compute the volume obtained by rotating region R about y = -2?

R EVOLVING REGIONS AROUND A LINE Y? FIND THE

5. Which of the integrands is used to compute the volume obtained by rotating region R about y = 9?

R EVOLVING REGIONS AROUND A LINE Y? FIND THE