Question

A cannery needs to know the volume-to-surface-area ratio of a can to find the size that will create the greatest profit. Find the volume-to-surface-area ratio of a can.Hint : For a cylinder, S = 2πr2 + 2πrh and V = πr2h.a. 1/2b. 2(r+h) / rhc. πr(2r + 2h − rh)d. rh / 2(r+h)

Answer 1

`Volume\text{ }of\text{ }can=\pi r^2h`
`Surface\text{ }area\text{ }of\text{ }can=2\pi r^2+2\pi rh`

The ratio can be established as shown below

`\begin{gathered} (\pi r^2h)/(2\pi r^2+2\pi rh) \\ (\pi r^2h)/(2\pi r(r+h)) \\ (rh)/(2(r+h)) \end{gathered}`

The correct answer is OPTION D