a cylindrical can needs to have a volume of 6 cubic inches a label is to go around the side of the can. The function S(r)=12/r gives the area of the label in square inches where r is the radius of the can in inches

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment.

Cylinder volume V= 6 Cubes - inch  

The Formula:

The (r and h ) is the radius and height of the cylinder and represent the region of the mark in this r and h, and that is why  as can's radius gets bigger and larger, the label area gets closer to 0.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^