A cylindrical tank has a capacity of 6160 cubic cm. find is depth if its radius is 14 metre
(take π=22/7)
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Answer:
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Answered by
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Answer:
Let the depth of the tank be h.
Given:-
Volume of tank =6160m
3
Radius of tank =14m
As we know that, volume of tank is given as-
V=πr
2
h
Therefore,
Volume of tank =πr
2
h
⇒
7
22
×(14)
2
h=6160
⇒616h=6160
⇒h=
616
6160
=10m
Hence the depth of the tank is 10m
Now again as we know that the curved surface area of cylinder is given as-
A=2πrh
Therefore,
curved surface area of tank =2×
7
22
×14×10=880m
2
Given that the cost of painting is Rs.3 per m
2
.
Therefore,
Cost of painting the curved outer surface of tank =3×880=Rs.2640
Hence the cost of painting the curved outer surface is Rs.2640.
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