Solid of Revolution

Determine the volume of the region bounded by y = x² - 2x and y = x that is rotated about y = 4.

• 5.4
• 30.6
• 96.133
• 108.332

Find the volume of the solid generated by rotating the region bounded by the graphs of y = 1/x, y = 0, x = 2, and x = 6 around the line x = -1.

• 2π(4+ln 6)

• 2π(4 - ln 3)

• 2π(4 + ln 3)

• π(8 + ln 6)

Find the volume of the solid generated by revolving about the line y = 8 the region bounded by the graph y = x² + 4 and the line y = 8.

• 16/15 Pi

• 122/6 Pi

• Pi/6

• 512/15 Pi

Find the volume of the solid generated by revolving the region bounded y=x³, x = 0, and x = 2, about the line y = 8.

• 15/16 Pi

• pi/10

• 576/7 Pi

• 215/8 Pi