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Find the volume of the solid generated by rotating the region bounded by y=x^2+…
Related Topics
Wize University Calculus 2 Textbook > Applications of Integrals
Volumes of Revolution (Cylindrical Shells Method)
2 Activities
Find the volume of the solid generated by rotating the region bounded by
y
=
x
2
+
1
y=x^2+1
y
=
x
2
+
1
and the x-axis on the interval
0
≤
x
≤
2
0\le x \le2
0
≤
x
≤
2
around the y-axis.
8
π
2
8\pi^2
8
π
2
8
π
8\pi
8
π
10
π
10\pi
10
π
12
π
12\pi
12
π
16
π
16\pi
16
π
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More Volumes of Revolution (Cylindrical Shells Method) Questions:
Practice: Volumes using Cylindrical Shells
Find the volume of the solid generated by rotating the region bounded by
y
=
x
2
+
1
y=x^2+1
y
=
x
2
+
1
and the x-axis on the interval
0
≤
x
≤
2
0\le x \le2
0
≤
x
≤
2
around the y-axis.
Practice: Volumes using Cylindrical Shells
Find the volume of the solid generated by rotating the region bounded by
y
=
x
2
+
1
y=x^2+1
y
=
x
2
+
1
and the x-axis on the interval
0
≤
x
≤
2
0\le x \le2
0
≤
x
≤
2
around the y-axis.
Practice: Volumes using Cylindrical Shells
Find the volume of the solid generated by rotating the region bounded by
y
=
x
2
+
1
y=x^2+1
y
=
x
2
+
1
and the x-axis on the interval
0
≤
x
≤
2
0\le x \le2
0
≤
x
≤
2
around the y-axis.