Friday

April 18, 2014

April 18, 2014

Posted by **Alex** on Thursday, March 22, 2012 at 5:44pm.

- Integrals/Related Rates(?)/Volume -
**bobpursley**, Thursday, March 22, 2012 at 6:09pmok, to get the flow, you integrate area*flow rate thru that area.

so dArea= dr*2PI

dVolume= flowrate*dArea

Volume= INT 9r^2*2PI*dr=18PI r^3/3 from r=0 to r=3

volumeflowrate= 6PI *27 cm^3/sec

total amount H2O: volumeflowrate*time

- Integrals/Related Rates(?)/Volume -
**Damon**, Thursday, March 22, 2012 at 6:11pmthrough every ring of radius r and thickness dr and amount per second flows equal to 2 pi r v dr

or

dq = 2 pi (9 r - r^3) dr

integrate that from 0 to 3 and then multiply by 4 seconds

18 pi (r^2/2) - 2 pi (r^4/4)

9 pi (9) - (pi/2)(81)

**Related Questions**

physics - A U-shaped tube contains a fluid of density 1.5x10^3 kg/m^3. the right...

Physics - In a machine, an ideal fluid with a density of 0.9*10^3 kg/m^3 and a ...

physics - why does an ideal fluid move faster through a pipe with decreasing ...

PHYSICS!!! - A certain fluid has a density of 1045 kg/m3 and is observed to rise...

Physics - A block of mass 20g sits at rest on a plate that is at the top of the...

classical mechanics - A U-tube open at both ends to atmospheric pressure is ...

physics - In a machine, an ideal fluid with a density of 0.9*10^3 kg/m^3 and a ...

Physics Classical Mechanics - A U-tube open at both ends to atmospheric pressure...

Physical Science - Two identical beakers are both half filled with a liquid. ...

Geometry - A mailing tube is 25" long with a diameter of 4". What is the volume ...