PENTALIZARD9331 PENTALIZARD9331
  • 23-02-2022
  • Physics
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A cylindrical tank with radius 5 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing?.

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indrawboy
indrawboy indrawboy
  • 23-02-2022

V(volume of cylinder) = A.h = πr².h

V = 25π.h m³

rate (Q) = V : t

[tex]\tt t=\dfrac{V}{Q}=\dfrac{25\pi h~m^3}{2~m^3/min}=12.5\pi h~min[/tex]

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