# What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 125 #cm^3#?

##### 1 Answer

Radius of can =

#### Explanation:

In answering this question it is assumed that the material from which the can is made has a uniform density and thickness , since the ' mass' of the can would depend both on the density and volume of the material from which it is made.

Volume of can= volume of cylinder=

Surface area of can =

From ......

Area=

Differentiating ....

solving this for

Substituting this value for

The second derivative