Calculus Revolved Find Volume

Quiz
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
16 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the region enclosed by these functions are revolved around the y axis, would one use a washer or disk?
washer
disk
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the integral that would find the volume of the region revolving around the given axis.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the integral that would find the volume of the region revolving around the given axis.
4.
MULTIPLE SELECT QUESTION
1 min • 1 pt
The region bounded by the line y = x and y = f(x) is rotated about the line y = k. Choose the correct representations of R and r
R = k + f(x)
R = k − f(x)
r = k + x
r = k − x
5.
MULTIPLE CHOICE QUESTION
1 min • 10 pts
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
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
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