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October 2, 2014

Posted by **Cecille** on Tuesday, April 12, 2011 at 10:24pm.

- Calculus (pleas help!!!) -
**MathMate**, Tuesday, April 12, 2011 at 10:48pmCan you double check if the water going out is 1100 litres per minute (1.1 m³/min.) or 1100 cc (0.0011 m³/min)?

- Calculus (pleas help!!!) -
**Cecille**, Tuesday, April 12, 2011 at 10:54pmIt's cubic centimeter per minute

- Calculus (pleas help!!!) -
**MathMate**, Tuesday, April 12, 2011 at 11:29pmAssume "inverted" conical tank is wider at the top, with a diameter of 5m.

At the base, r=0, h=0.

At the top, r=2.5, h=15

radius at height h:

r(h)=h/6

Area of surface of water, Aw

=πr(h)^2

=πh²/36

Equate input (Q m³/min.) and output (x):

dh/dt = (Q-x)/Aw

At h=2.5m,

dh/dt=300cm/min = 3m/min.

x=0.0011 m³/min.

Therefore

Q=(dh/dt)*Aw+x

=3 m/min. * πh²/36

=0.521π+0.0011 m³/min

=1.637 m³/min.

Please check my calculations.

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