Respuesta :

Answer:

12.8 cm

Step-by-step explanation:

So let's find the volume fo the can of paint.

The formula for volume of a cylinder is [tex]\pi[/tex]r^2 h.

Plugging the height and radius in, we get

[tex]\pi[/tex]64*20

or  [tex]\pi[/tex]1280

Since Jamil has 1/4 of a can of paint remaining, we multiply the volume by 1/4 to get:

320[tex]\pi[/tex]

Since the smaller can has to have a volume of 320[tex]\pi[/tex],

we divide it by 25 to get [tex]\pi[/tex]h or 12.8[tex]\pi[/tex]

So the height of the smaller can is 12.8 cm