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- 1. Multiple Choice
If you were to find the volume of the solid created by revolving the region bounded by
and about the x-axis, which method should you use?Disk
Washer
Shell
Washer or Shell
- 2. Multiple Choice
If you were to find the volume of the solid created by revolving the region bounded by
and about the line y = -2, which method should you use?Disk
Washer
Shell
Washer or Shell
- 3. Multiple Choice
If you were to find the volume of the solid created by revolving the region bounded by
and about the line x= 5, which method should you use?Disk
Washer
Shell
Washer or Shell
- 4. Multiple Choice
If you were to find the volume of the solid created by revolving the region bounded by
and about the line x= 5 using the shell method, what would be your radius?x - 5
x + 5
5 - x
5 + x
- 5. Multiple Choice
If you were to find the volume of the solid created by revolving the region bounded by
and about the line x= 5 using the shell method, what would be your height? - 6. Multiple Choice
Region P is the region bounded by the functions and y = 4 If you were to revolve this region around a given axis to find the volume of a solid, which axes would require you to use the washer method? (Select all that apply)
x-axis
y-axis
x = 3
y = -3
- 7. Multiple ChoiceNO 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/332π/5108π/516π/3
- 8. Multiple ChoiceNO 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.8π6π2π0
- 9. Multiple ChoiceDetermine the volume of the region bounded by y = x2 - 2x and y = x that is rotated about y = 4.5.430.696.133108.332
- 10. Multiple ChoiceWhat 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)dxBounds: [0, 2]; π ∫((11 - 2x2)2 - 9)dxBounds: [-2, 2]; π ∫((11 - 2x2)2 - 9)dxBounds: [-2, 2]; π ∫(4x4 - 8)dx
- 11. Multiple ChoiceFind the volume of the solid of revolution obtained by rotating the region in bounded by y = x3 + 1, x = 1 and y = 1 about the y-axis.11π/34π/133π/72π/5
- 12. Multiple ChoiceFind the volume of the solid of revolution obtained by rotating the region in bounded by y = x3 + 1, x = 1 and y = 1 about the y-axis.11π/34π/133π/72π/5
- 13. Multiple Choice
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
- 14. Multiple ChoiceWhat 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/281π/2648π/545π/2
- 15. Multiple ChoiceIf the region enclosed by y = 3x2, y = 3 is revolved about the x-axis, what is the volume of the solid generated?72π/527π/227π/209π/10
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