the capcity of the closed cylindrical vessel of height 1m is 15.4 liters. How many squares meters of metal sheet would be needed to make it
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Answer:
Height of cylindrical vessel
=
1
m
Capacity of the cylindrical vessel
=
15.4
L
=
15.4
1000
=
.0154
m
3
[
∵
1
L
=
1
1000
m
3
]
Volume of a cylinder
=
π
r
2
h
⇒
22
7
×
r
2
×
1
=
0.0154
⇒
r
2
=
7
22
×
0.0154
⇒
r
2
=
7
×
0.0007
⇒
r
2
=
0.0049
⇒
r
2
=
49
10000
⇒
r
=
√
49
10000
⇒
r
=
7
100
⇒
r
=
0.07
m
Therefore, Required metal of sheet
=
TSA of cylindrical vessel
=
2
π
r
(
r
+
h
)
=
2
×
22
7
×
0.07
m
×
(
0.07
+
1
)
m
=
44
×
0.01
×
1.07
=
0.4708
m
2
Therefore,
0.4708
m
2
of sheet will be required to make the vessel.
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