Friday

September 19, 2014

September 19, 2014

Posted by **EA** on Friday, March 28, 2014 at 11:39pm.

- Calculus -
**Damon**, Friday, March 28, 2014 at 11:48pmthe rate of change of volume is the surface area times the rate of change of height

450 ft^3/min = surface area * dh/dt

surface area = pi r^2

450 = pi (30^2) dh/dt

dh/dt = .159 ft/min

You could do this by saying

V = pi r^2 h

dV/dh = pi r^2

dV/dh*dh/dt = pi r^2 dh/dt

chain rule

dV/dt = pi r^2 dh/dt

but most of us just look at the lake rising an inch and seeing that the added volume is the area times one inch

- Calculus -
**EA**, Sunday, March 30, 2014 at 10:17pmThanks Damon, that really clears it up for me

**Answer this Question**

**Related Questions**

calculus - A trough is 16 ft long and its ends have the shape of isosceles ...

calculus - A trough is 15 ft long and its ends have the shape of isosceles ...

Calculus - A cylindrical tank, with height of 15 m and diameter 4m, is being ...

MATHS - A cylindrical water tank of diameter 1.4m and height 2.1m is being feed ...

Calculus Help Please!!! - A water trough is 5 m long and has a cross-section in ...

Calculus - A water trough is 6 m long, and its cross-section has the shape of an...

Calculus - Water is leaking out of an inverted conical tank at a rate of 10,000 ...

calculus: related rates - hello, please help me. A cylindrical can is being ...

calculus - Water is leaking out of an inverted conical tank at a rate of 10,000 ...

calculus - A 24ft high conical water tank has its vertex on the ground and ...