Volume AP Calculus

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Select the integral that would find the volume of the region revolving around the given axis.

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Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

• 12.566

• 14.661

• 16.755

• 67.021

Tags

CCSS.HSG.GMD.A.3

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

What integral would allow you to find the volume of the region bounded by y = 2x² and y = 8 around the line y = 11. 

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

• 4π²

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

• A

• B

• C

• D

• E

Tags

CCSS.7.G.B.6

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

• A

• B

• C

• D

• E

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2