The volume of a cylindrical can is #32pi# cubic inches. If the height of the can is 2 inches, what is its radius, in inches?

1 Answer
Apr 3, 2017

The radius of the can is #4# inches.

Explanation:

The formula for volume of a cylinder is:

#V=pir^2h#

Since we know the volume and the height of the can, we can determine the radius.

#32pi=pir^2xx2#

Cancelling the similar terms on either side, we get.

#32cancelpi=cancel(pi)r^2xx2#

#32=r^2xx2#

Divide both sides by #2#.

#16=r^2#

Square both sides, remembering that the result has to be a positive integer.

#4=r#

Hence the radius of the cylindrical can is #4# inches.