The volume V of liquid in a hollow horizontal cylinder of radius r and length L is related to the depth of the liquid h by V = [ r 2 cos − 1 ( r − h r ) − ( r − h ) 2 r h − h 2 ] L Determine h given r = 2 m, L = 5 m, and V = 8 m 3 . Note that if you are using a programming language or software tool that is not rich in trigonometric functions, the arc cosine can be computed with cos − 1 x = π 2 − tan − 1 ( x 1 − x 2 )
The volume V of liquid in a hollow horizontal cylinder of radius r and length L is related to the depth of the liquid h by V = [ r 2 cos − 1 ( r − h r ) − ( r − h ) 2 r h − h 2 ] L Determine h given r = 2 m, L = 5 m, and V = 8 m 3 . Note that if you are using a programming language or software tool that is not rich in trigonometric functions, the arc cosine can be computed with cos − 1 x = π 2 − tan − 1 ( x 1 − x 2 )
The volume V of liquid in a hollow horizontal cylinder of radius r and length L is related to the depth of the liquid h by
V
=
[
r
2
cos
−
1
(
r
−
h
r
)
−
(
r
−
h
)
2
r
h
−
h
2
]
L
Determine h given
r
=
2
m,
L
=
5
m, and
V
=
8
m
3
. Note that if you are using a programming language or software tool that is not rich in trigonometric functions, the arc cosine can be computed with
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