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Surface area of revolution
Related Topics
Wize University Calculus 1 Textbook > Applications of Integration
Surface Area of Revolution
3 Activities
Compute the area of the surface formed when
f
(
x
)
=
x
f\left(x\right)=\sqrt{x}
f
(
x
)
=
x
is rotated around the x-axis,
assuming
0
≤
x
≤
4.
0\le x\le4.
0
≤
x
≤
4.
Answer
I don't know
Check Submission
More Surface Area of Revolution Questions:
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.
Compute the area of the surface formed when
f
(
x
)
=
x
f\left(x\right)=\sqrt{x}
f
(
x
)
=
x
is rotated around the x-axis,
assuming
0
≤
x
≤
4.
0\le x\le4.
0
≤
x
≤
4.
(a)
4
π
3
[
(
17
4
)
3
2
−
(
1
4
)
3
2
]
\frac{4\pi}{3}\left[\left(\frac{17}{4}\right)^{\frac{3}{2}}-\left(\frac{1}{4}\right)^{\frac{3}{2}}\right]
3
4
π
[
(
4
17
)
2
3
−
(
4
1
)
2
3
]
(b)
4
π
3
[
(
17
4
)
3
2
−
1
]
\frac{4\pi}{3}\left[\left(\frac{17}{4}\right)^{\frac{3}{2}}-1\right]
3
4
π
[
(
4
17
)
2
3
−
1
]
(c)
4
π
3
[
16
3
2
]
\frac{4\pi}{3}[16^\frac32]
3
4
π
[
1
6
2
3
]
(d)
4
π
3
[
(
17
4
)
3
2
+
1
4
]
\frac{4\pi}{3}\left[\left(\frac{17}{4}\right)^{\frac{3}{2}}+\frac14\right]
3
4
π
[
(
4
17
)
2
3
+
4
1
]
Compute the area of the surface formed when
f
(
x
)
=
x
f\left(x\right)=\sqrt{x}
f
(
x
)
=
x
is rotated around the x-axis,
assuming
0
≤
x
≤
4.
0\le x\le4.
0
≤
x
≤
4.
Compute the area of the surface formed when
f
(
x
)
=
x
2
f\left(x\right)=x^2
f
(
x
)
=
x
2
is rotated around the y-axis,
assuming
0
≤
x
≤
2
0\le x\le2
0
≤
x
≤
2
.
Compute the area of the surface formed when
f
(
x
)
=
x
2
f\left(x\right)=x^2
f
(
x
)
=
x
2
is rotated around the y-axis,
assuming
0
≤
x
≤
2
0\le x\le2
0
≤
x
≤
2
.
Surface Area of Revolution
Compute the area of the surface formed when
f
(
x
)
=
x
2
f\left(x\right)=x^2
f
(
x
)
=
x
2
is rotated around the y-axis,
assuming
0
≤
x
≤
2
0\le x\le2
0
≤
x
≤
2
.
Surface Area of Revolution
Find the surface area of a right circular cone of height 4, radius 2.