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nanni (arn437) – Assignment 7 – guntel – (54940)
1
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the next column or page – fnd all choices
beFore answering.
001
10.0 points
±ind the volume,
V
, oF the solid obtained
by rotating the region bounded by
y
=
2
x
,
x
= 2
,
x
= 5
,
y
= 0
about the
x
axis.
1.
V
=
3
5
2.
V
=
3
5
π
3.
V
=
6
5
π
correct
4.
V
=
3
10
π
5.
V
=
3
10
6.
V
=
6
5
Explanation:
The volume oF the solid oF revolution ob
tained by rotating the graph oF
y
=
f
(
x
) on
[
a, b
] about the
x
axis is given by
volume =
π
i
b
a
f
(
x
)
2
dx .
When
f
(
x
) =
2
x
,
a
= 2
,
b
= 5
,
thereFore,
V
=
π
i
5
2
4
x
2
dx .
Consequently,
V
=
π
b

4
x
B
5
2
=
6
5
π
.
002
10.0 points
±ind the volume oF the paraboloid gener
ated by rotating the graph oF
y
= 4
√
x
be
tween
x
= 0 and
x
= 2 about the
x
axis.
1.
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 Fall '08
 Hodges

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