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Question

A cylindrical tank of radius 10m is being filled with wheat at the rate of 314 cubic metre per hour. then the depth of the wheat is increasing at the rate of

A
1m3/h
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B
0.1m3/h
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C
1.1m3/h
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D
0.5m3/h
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E
None of these
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Solution

The correct option is A 1m3/h
dvdt=314m3/hr given

Now V=πr2h
dVdt=πr2dhdt
314=3.14(10)2dhdt
dhdt=1m3/h

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