Tuesday

March 31, 2015

March 31, 2015

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.

**Answer this Question**

**Related Questions**

Calculus - Water is leaking out of an inverted conical tank at a rate of 1100.0 ...

Calculus - Water is leaking out of an inverted conical tank at a rate of 1100.0...

calculus - Water is leaking out of an inverted conical tank at a rate of 1100 ...

Calculus - Water is leaking out of an inverted conical tank at a rate of cubic ...

math - Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/...

calculus - please help! - Water is leaking out of an inverted conical tank at a ...

calculus - Water is leaking out of an inverted conical tank at a rate of 60000 ...

calculus - Water is leaking out of an inverted conical tank at a rate of 1600.0 ...

Calculus 1 - Water is leaking out of an inverted conical tank at a rate of 13200...

Calculus - Water is leaking out of an inverted conical tank at a rate of cubic ...