Friday

August 29, 2014

August 29, 2014

Posted by **mash** on Monday, December 2, 2013 at 12:25am.

- calculas,math -
**Steve**, Monday, December 2, 2013 at 5:17amassuming a constant volume v, we have

v = pi r^2 h

so, h = v/(pi r^2)

the surface area is

a = 2pi r(r+h)

= 2pi r(r + v/(pi r^2))

= 2 pi r^2 + 2v/r

da/dr = 4pi r - 2v/r^2

= 2(2pi r^3 - v)/r^2

we want da/dr=0 for max/min area, so

r = ∛(v/(2pi))

h = v/(pi r^2) = ∛(4v/pi)

but, is this min or max area? Check a'' to be sure it's a minimum

**Related Questions**

Math - A cylindrical can is made from tin.If it can be contain 1000 m^3 liquid ...

geometry - A cylindrical tin can holding 2 gal.has its height equal to the ...

solid mensuration - A cylindrical tin can holding 2 gal.has its height equal to ...

calculus - right circular cylindrical tin cans are to be manufactured to ...

Math - A cylindrical tin can has a radius of 4.5cm and a height of 5 cm (a)What ...

Calculus - Find the maximum volume of a cylindrical tin that has a total surface...

Chemistry - A compound of Tin Sulfate is decomposed in the lab to give 1.91g of ...

Chemistry Stoichiometry - 1. Tin and oxygen gas are reacted together to form Tin...

math.....need help - Solve the problem. An open box is to be made from a ...

Maths - a cylindrical tin with one end opened has diameter of 440mm and height ...