Question

A tin can (right circular cylinder) with top and bottom is to have volume V . What dimensions (the radius of the bottom and the height) give the minimum total surface
area?

Answer 1

V=h(pi)r^2 , A=h2(pi)r + 2(pi)r^2

Answer 2

\[A=2V/r+2πr^2\]

Answer 3

Setting the derivative to zero give us
\[r=\sqrt[3]{V/2 \pi}\]

Answer 4

which equation should I use to find h