Sunday

January 25, 2015

January 25, 2015

Posted by **ali** on Wednesday, May 2, 2012 at 12:52pm.

- calcalus -
**Steve**, Wednesday, May 2, 2012 at 2:52pmwhen the water is at depth y, the radius r of the surface can be found using similar triangles:

r/y = (65/2)/15

r = 13/6 y

at depth y, the volume of water is

v = 1/3 pi r^2 y

= 1/3 pi (13/6)^2 y^3

= 169pi/108 y^3

dv/dt = -12200+C = 169pi/36 y^2 dy/dt

at y=10m=1000cm, dy/dt = 21cm/min

-12200 + C = 169pi/36 * 1000000 * 21 = 309708675

C = 309696475

**Answer this Question**

**Related Questions**

calculus(related rates) - 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 cubic ...

Calculus (pleas help!!!) - Water is leaking out of an inverted conical tank at a...

math - Water is leaking out of an inverted conical tank at a rate of 6700 cubic ...

Engineering Calc. - Water is leaking out of an inverted conical tank at a rate ...

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 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 60000 ...

math - Water is leaking out of an inverted conical tank at a rate of 700.0 cubic...