Volume of Solids of Revolution Practice

NO CALCULATOR: 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

NO CALCULATOR: Find the volume of the solid generated by revolving the area bounded by y = x² and the x-axis from [0, 2] around the y-axis. 

• 8π
• 6π
• 2π
• 0

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

• A
• B
• C
• D

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

• Bounds: [0, 2]; π ∫(4x⁴ - 8)dx
• Bounds: [0, 2]; π ∫((11 - 2x²)² - 9)dx
• Bounds: [-2, 2]; π ∫((11 - 2x²)² - 9)dx
• Bounds: [-2, 2]; π ∫(4x⁴ - 8)dx

• A
• B
• C
• D

• A
• B
• C
• D

How comfortable are you with calculating the volume of revolution? (1 struggling - 4 confident)

• 1
• 2
• 3
• 4

How comfortable are you with calculating the area between two curves? (1 struggling - 4 confident)

• 1
• 2
• 3
• 4

• A
• B
• C
• D

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3