Area Calculus Volume

Find the area of the region

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What is the volume of the solid generated when R is rotated about the x-axis?

Find the volume of the shaded region revolved around the line y = 3

Find the volume of the shaded region revolved around the y axis.

Find the volume of the solid generated by revolving the area bounded by y = x² and the x-axis from [0, 2] around the x-axis. 

• 8π/3

• 32π/5

• 108π/5

• 16π/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

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

• A

• B

• C

• D

• E

Which one of the definite integrals below gives the volume of the solid?

Which one of the definite integrals below gives the volume of the solid?

Which one of the definite integrals gives the volume of the solid?