
Calculus Volume Disk
Authored by Barbara White
Mathematics
11th Grade - University

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8 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The base of a solid is bounded by the lines y = x/2 - 3 and y = -x/2 + 3 and the y-axis. Cross sections perpendicular to the x-axis are semicircles. Find the volume of this solid.
9π
18π
36π
12π
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Determine the volume of the region bounded by y = x2 - 2x and y = x that is rotated about y = 4.
130.062
30.6
96.133
108.332
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What integral (Disk/Washer) would allow you to find the volume of the region bounded by y = 2x2 and y = 8 around the line y = 11.
Limits: [0, 2]; π ∫(4x4 - 8)dx
Limits: [0, 2]; π ∫((11 - 2x2)2 - 9)dx
Limits: [-2, 2]; π ∫((11 - 2x2)2 - 9)dx
Limits: [-2, 2]; π ∫(4x4 - 8)dx
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The base of a solid is an ellipse with equation 9x2 + y2 = 9. Parallel cross sections perpendicular to the x-axis are squares. Find the volume of this solid.
96
48
24
12
none of these
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Use the shell method to find the volume of the solid obtained by rotating the region bounded by y=x3, y=8, and x=0 about the x-axis.
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
71π/5
224π/15
15π
211π/15
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the volume of the solid generated by rotating the region bounded by the graphs of y = 1/x, y = 0, x = 2, and x = 6 around the line x = -1.
2π(4+ln 6)
2π(4 - ln 3)
2π(4 + ln 3)
π(8 + ln 6)
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