Question
Asked Oct 25, 2019
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Q 3. A cylindrical tank with radius 5 m is being filled with water at a rate of 1.25 m3/s. How
fast is the height of the water increasing?
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Q 3. A cylindrical tank with radius 5 m is being filled with water at a rate of 1.25 m3/s. How fast is the height of the water increasing?

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Expert Answer

Step 1

Given,

          Radius of the tank (...

Volume of tank is given by
Differentiating on both sides by t, we get
d(πr2h)
dv
dt
dt
dV
= Tr2n
dt
dt
dh
1.25π 5) ?
dt
dh
0.05
dt
dh
1
or 0.0159 m/s
dt
20TT
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Volume of tank is given by Differentiating on both sides by t, we get d(πr2h) dv dt dt dV = Tr2n dt dt dh 1.25π 5) ? dt dh 0.05 dt dh 1 or 0.0159 m/s dt 20TT

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Tagged in

Math

Calculus

Derivative