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A cylindrical tank of radius 10m is bein...

A cylindrical tank of radius 10`m` 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

1 m/hr

B

0.1 m/hr

C

1.1 m/h

D

0.5 m/hr

Text Solution

Verified by Experts

The correct Answer is:
A
Given that,
`(dv)/(dt)=(314) (m^3)/(hr)`
now,
`v=pi r^2h`
`=>(dv)/(dt)=pi r^2 (dh)/(dt)`
`=>314=3.14(10)^2(dh)/(dt)`
`=>(dh)/(dt)=1 (m)/(hr)`
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