14.50:
a) Equation (14.4), with the radius
r
instead
of height
,
y
becomes
.
)
(
s
dr
R
r
ρg
dr
ρg
dp

=

=
This form shows that the pressure decreases with increasing
radius. Integrating, with
,
at
0
R
r
p
=
=
∫
∫

=
=

=
r
R
r
r
R
R
ρg
dr
r
R
ρg
dr
r
R
ρg
p
R
2
2
s
s
s
).
(
2
b) Using the above expression with
,
and
0
3
4
3
R
M
V
M
r
π
ρ
=
=
=
Pa.
10
71
.
1
m)
10
38
.
6
(
8
)
s
m
kg)(9.80
10
97
.
5
(
3
)
0
(
11
2
6
2
24
×
=
×
×
=
π
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 10 m, 9.80 m, 1011 Pa

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