Monday

October 20, 2014

October 20, 2014

Posted by **Anonymous** on Tuesday, June 5, 2012 at 11:36pm.

Write an expression for the rate of change of the water level with respect to time, in terms of h (the water's height in the tank).

- CALCULUS - PLEASE HELP -
**Steve**, Wednesday, June 6, 2012 at 12:29pmusing similar triangles, the radius of the water surface at height h can be found

r/h = (40/2)/10 = 2

so, r = 2h

v = 1/3 π r^2 h

= π/3 (2h)^2 h

= 4π/3 h^3

dv/dt = 4π h^2 dh/dt

50 = 4π h^2 dh/dt

dh/dt = 25/(2πh^2)

**Answer this Question**

**Related Questions**

AP CALCULUS!!! HELPP - related rates: the base of a pyramid-shaped tank is a ...

AP CALCULUS!! HELPPP URGENT - related rates: the base of a pyramid-shaped tank ...

AP calculus - The base of a cone-shaped tank is a circle of radius 5 feet, and ...

Calculus (Help please) - A tank has the shape of an inverted circular cone with...

Math (Calculus) - A tank has the shape of an inverted circular cone with a base ...

Math (Calculus) - A tank has the shape of an inverted circular cone with a base ...

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

calculus(related rates) - Water is leaking out of an inverted conical tank at a ...

Calculus (pleas 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 ...