Find 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/3
4π/13
3π/7
2π/5
2. Multiple Choice
5 minutes
1 pt
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 y-axis?
π2
2π2
4π2
4
3. Multiple Choice
5 minutes
1 pt
If the region enclosed by the y-axis, y = 2 and the curve y = √x is revolved about the y-axis, what is the volume of the solid generated?
32π/5
16π/3
16π/5
8π/3
4. Multiple Choice
5 minutes
1 pt
If the region enclosed by y = 1/x, y = 0 between x = 1 and x = 5 is revolved about the x-axis, what is the volume of the solid generated?
4π/5
2π/5
3π/5
πln(5)
5. Multiple Choice
5 minutes
1 pt
Find the volume of when region bounded by y = 4/x, x = 4 and y = 2 is revolved about the y-axis.
8π
16π
16π/3
24π
6. Multiple Choice
5 minutes
1 pt
Find the volume of when the region bounded by y = x3, x = 4 and the x-axis is revolved about the y-axis.
2048π/5
3072π/5
1024π/5
64π
7. Multiple Choice
5 minutes
1 pt
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
8. Multiple Choice
5 minutes
1 pt
If the region enclosed by y = 0, x = 3 and y = 5x2 is revolved about the y-axis, what is the volume of the solid generated?
405π/2
405π/4
90π
810π
9. Multiple Choice
5 minutes
1 pt
If the region enclosed by y = 3x2, y = 3 is revolved about the x-axis, what is the volume of the solid generated?