Area and Disk Method

Find the area of the region bounded by  $y=\sqrt{x}$  and  $y=.5x^2$  rounded to the nearest hundredth.

• 0.333

• 0.667

• 0.889

• 1.333

Find the area of the region bounded by  $y=x^2-8x+18$  and  $y=7$  rounded to the nearest hundredth.

• 14.667

• 14.333

• 13.667

• 13.333

Find the area of the region bounded by  $y=\sqrt{x}$ ,  $y=-x+8$  and  $y=0$  rounded to the nearest hundredth.

• 10.817

• 11.014

• 11.714

• 12.105

Find the volume of the solid obtained by rotating the region bounded by  $y=2x^2-9x+4$  and  $y=0$  rotated about the x-axis rounded to the nearest hundredth. 

• 184.023

• 197.124

• 208.713

• 220.003

Find the volume of the solid obtained by rotating the region bounded by  $y=x^2-6x+11$  and $y=6$  rotated about the horizontal line  $y=6$  rounded to the nearest hundredth. 

• 106.322

• 107.233

• 108.232

• 109.323

Find the volume of the solid obtained by rotating the region bounded by $y=-x^2+6x-3$  and  $y=-3$  about the horizontal line  $y=-3$  rounded to the nearest hundredth. 

• 814.301

• 809.173

• 798.023

• 789.203