Originally Posted by
nomanslan hi, i have a question that goes,
"a cylindrical tin of particular volume is to be made using as little material as possible. find the ratio of the height to the radius(the tin is closed both ends)"
I have the answer below:
""a cylindrical tin of particular volume" --> volume is constant.
"is to be made using as little material as possible" --> minimize surface area
"find the ratio of the height to the radius" --> solve for h/r
Write the formulas for the volume and surface areas.
V = pi r^2 h
A = 2 pi r^2 + 2 pi rh
rewrite A in terms of a single variable. Remember you can treat V as a constant.
h = V / (pi r^2)
A = 2 pi r^2 + 2 V / r