# A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will minimize the cost of metal to manufacture the can?

##### 1 Answer

Jun 29, 2016

Height = 10.84 cm, radius of the base = 5.42 cm and material for the surface =37 square cm, nearly

#### Explanation:

Let height = h and radius of the base = r.

Then, volume

and surface area of the can

Now, eliminating h,

Correspondingly, h= 10.84 cm, nearly

There is no maximum for S. Also,

For this r= 5.42 cm, S = 37.1