Wednesday

October 1, 2014

October 1, 2014

Posted by **Joey** on Wednesday, March 24, 2010 at 5:06pm.

- Calculus (optimization problem) -
**Damon**, Wednesday, March 24, 2010 at 5:39pmVolume = V = pi r^2 h = constant

so pi r^2 = V/h

and r =(V/[pi h])^.5

and

cost = 5 pi r^2 + 2 pi r h

cost = 5 V/h + 2 pi r h

cost = 5 V/h + 2 pi (V/pi)^.5 h^.5

d cost/dh = -5 V/h^2 + 2 pi (V/pi)^.5 (.5)(h^-.5)

0 when

5 V/h^2 = pi^.5 V^.5 h^-.5

h^1.5 = 5 V^.5/pi^.5

h^3 = 25 V/pi

**Answer this Question**

**Related Questions**

Re post water in tanks problem - A./_\ B.\_/ C.|_| The three tanks shown above ...

math - Your iron works has been contracted to design and build a 500-ft3 square-...

Calculus - Bruce has commissioned the construction of an open-top rectangular ...

Physics - A./_\ B.\_/ C.|_| The three tanks shown above are filled with water to...

Physics - Assume you construct a new water tower for a town water supply. Assume...

Geometry - 2. This cone bottom tank is the perfect solution for transporting ...

Calculus and vectors - A cylindrical tank is to have a capacity of 1000 m³. It ...

math - an open steel tank measures 2m by 2.5m by 3m.It holds 7500 ml of water....

math - An open steel tank measures 2m by 2.5m by 3m.It holds 7500 ml of water. ...

Math - Calculus 2 - An underground tank full of water has the following shape: ...