Posted by **david** on Friday, December 8, 2006 at 3:06am.

the volume of a cylindrical tin can with a top and a bottom is to be 16*pi cubic inces. if a minimum amont of tin is to be used to construct the can, what must be the height, in inches, of the can?

volume of cyliner is pi*r^2*h

do i like take derivitive of something since it talks about minimum. please help me. i don't get this

you want to minimize surface area.

Area= 2*2PIr + h*2PIr

but h= V/Pir^2

TAke dA/dr, set to zero, solve for r.

Then solve for h in the volume equation.

I need to know how to get the total surface area of a cylinder. The way that I get the lateral area is by taking by info for example 5cm x 12cm 60x3.14x2 =376.8cmsquared but I am trying to get the total area.

- calc -
**mia**, Monday, January 7, 2008 at 7:16pm
set volume=16pi, solve for r

then substitute r in for the surface area equation (2pirh+2pir^2)

take the derivative

find critical point (where derivative=0)

then make sure that is a minimum

- calc -
**Anonymous**, Friday, March 28, 2008 at 4:45pm
rjpijrt

- ervjz xafhb -
**ervjz xafhb**, Sunday, February 1, 2009 at 2:24pm
bugizmyrw xzpegdu zvrmx bpkcqahx bvzhgx ctelbsujr jydpzvqar

- calc -
**e3gan**, Wednesday, April 14, 2010 at 7:55pm
gu sdrgpdsjgpou iuo g

## Answer This Question

## Related Questions

- Math - A cylindrical can is made from tin.If it can be contain 1000 m^3 liquid ...
- calculas,math - A cylindrical can is made from tin.If it can be contain 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 ...
- math - A cylindrical tin of diameter 9cm and height 224cm is half filled with ...
- Chemistry - Cadmium and a solution of cadmium(II) nitrate are used with tin and ...
- Chemistry Stoichiometry - 1. Tin and oxygen gas are reacted together to form Tin...
- math - a closed tin is in the shape of acylinder of diameter 10cm and height ...
- Math - The Recycling Department of a fast food chain is planning to have a ...
- calc - If an open box has a square base and a volume of 91 in.3 and is ...

More Related Questions