Max. possible volume

[rachelshelby10]

I really have no idea where to start here.... the problem says... What is the maximum possible volume of a cylindrical can with no top that can be made from 30(pie) square inches of metal?...there isn't a symbol that looks like pie .... I know I am supposed to make a function and figure it out, but I can't figure out the right function to solve the problem. please help!

 

[Deleted member 4993]

I really have no idea where to start here.... the problem says... What is the maximum possible volume of a cylindrical can with no top that can be made from 30(pie) square inches of metal?...there isn't a symbol that looks like pie .... I know I am supposed to make a function and figure it out, but I can't figure out the right function to solve the problem. please help!

I assume the cylindrical can has a bottom and

the radius of the can = r

the height of the can = h

The metal needed (in sq.in) is the surface area of the cylinder (can) + the bottom of the can = 2?*r*h + ?*r²

The volume of the can = V = ?*h*r²

Now continue.....

 

[galactus]

Stop spelling it as 'pie'. :roll:

This is mathematics, not a bakery.

It is a Greek letter, spelled 'pi'.

 

[BigGlenntheHeavy]

Hint: To have the max volume r must equal h.