AP Calc HW #100 (7.3 disk method)

Solve for the volume of the solid generated by revolving about the x-axis the area bounded by

 $y=\sqrt{x}$  , and the lines  $y=0,\ x=0,\ and\ x=2.$  

•  $3\pi$  

•  $2\pi$  

•  $\frac{2\pi}{3}$  

•  $\frac{3\pi}{2}$  

Find the volume of the solid generated by revolving about the y-axis the area enclosed by  $y=x^3$  , and the lines  $x=0\ and\ y=8.$  

•  $\frac{96\pi}{5}$  

•  $\frac{25\pi}{4}$  

•  $\frac{54\pi}{3}$  

•  $\frac{37\pi}{4}$  

Find the volume of the region bounded by y=3x-2, y=6-x, and x=0, rotated around the y-axis

• 32π/3
• ?

For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the given axis. Set up, but do not evaluate the integral.

• A

• B

• C

• D

For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the given axis. Set up, but do not evaluate the integral.

• A

• B

• C

• D

For each problem, find the volume of the solid that results when the region enclosed by the curves is revolved about the given axis. Set up, but do not evaluate the integral.

• A

• B

• C

• D

Use the disk/washer method

• B
• C
• D
• E

Which integral represents the area of the shaded region?

• A
• B
• C
• D

Find the area between the x-axis and the curve y = x² - 5x

• -125/6
• 53,125/24
• 5
• -25/6

• 261

• 273

• 285

• 305