Find and interpret surface area of prisms and cylinders.
Use cylinder surface area for covering
Problem
A soup can has radius \(4~\text{cm}\) and height \(11~\text{cm}\). Calculate, in terms of \(\pi~\), the paper area for a label that covers only the curved side.
Big Picture
What this problem is really about
First match the paper to the surface it actually covers: the label wraps around the curved side but excludes both circular ends. Unwrap that side into a rectangle with length equal to the base circumference and width equal to the can’s height. Their product gives lateral area, with pi kept symbolic and square-centimeter units attached.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
