Find and interpret volume of prisms and cylinders using correct units.
Recognize a correct volume setup
Problem
A cylinder has radius \(5~\text{cm}\) and height \(12~\text{cm}\). Write an expression for its volume.
Big Picture
What this problem is really about
A valid cylinder-volume setup must show circular base area multiplied by height. Put the radius, not the height, in the squared factor, retain pi as part of the base area, and use the perpendicular height as a separate multiplier. Circumference-times-height and sums of exterior areas describe surfaces rather than inside space.
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.
