AP Calculus AB Area and Volume

What is the volume of the solid generated by rotating the region enclosed by y = sin(x) and the x-axis, from x = 0 to x = π about the x-axis?

• π²

• π²/2

• 4π²

• π/2

What is the volume of the solid formed in the second quadrant bounded by the curves         y = 9 – x², the x-axis and the y-axis when it is rotated about the line x = 1?

• 153π/2

• 81π/2

• 648π/5

• 45π/2

Set up but do not solve an integral that will find the volume of the solid described.

• A

• B

• C

• D

• E

Set up but do not solve an integral that will find the volume of the solid described.

• A

• B

• C

• D

• E

Set up but do not solve an integral that will find the volume of the solid described.

• A

• B

• C

• D

• E

Set up but do not solve an integral that will find the volume of the solid described.

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

If the region enclosed by y = 3x², y = 3 is revolved about the x-axis, what is the volume of the solid generated?

• 72π/5

• 27π/2

• 27π/20

• 9π/10

What is the integrand when finding the volume of a solid with cross sections of semicircles?