Thursday

October 30, 2014

October 30, 2014

Posted by **Mat** on Monday, May 20, 2013 at 10:17pm.

The containers need to hold 25litres and must be cylindrical in shape. What

dimensions will ensure that the least amount of plastic is used to create the

containers. (Note: the volume and surface area of cylinders are V =πr2h and

S = 2πr2 + 2πrh respectively)

- calculus -
**Steve**, Tuesday, May 21, 2013 at 11:36amv=pi r^2 h = 25, so

h = 25/(pi r^2)

a = 2πr^2 + 2πrh

= 2πr^2 + 2πr*25/(πr^2)

= 2πr^2 + 50/r

da/dr = 4πr - 50/r^2

= (4πr^3 - 50)/r^2

since r≠0, da/dr=0 when 4πr^3 = 50

r = ∛(25 / 2π)

**Answer this Question**

**Related Questions**

Math- Calculus - A company needs to produce a cylindrical can to hold water. It...

calculus - a. A closed cylindrical can is to hold 1000cm^3 of liquid. How should...

calculus - A cylindrical container is to hold 20π cm^3. The top and bottom ...

Chemistry - Two rigid containers of equal volume hold hydrogen and argon gases ...

St - A manufacturer is interested in determining whether it can claim that the ...

geometry - you are to design, draw and label the dimensions of 3 boxes that will...

marketing - Develop and describe the packaging necessary for your product or ...

AP CALCULUS PLEASE HELP DUE TOMORROW! - 5. What are the dimensions of the ...

math - A manufacturer sells widgets, each of which is packaged in a box whose ...

Calculus - A metal cylindrical container with an open top is to hold 1 cubic ...