In this lesson, students use the formula \(V=\pi r^2 h\) for the volume of a cylinder to solve a variety of problems. They compute volumes given radius and height, and find radius or height given a cylinder’s volume and the other dimension by reasoning about the structure of the volume formula.
- Calculate the value of one dimension of a cylinder, and explain (orally and in writing) the reasoning.
- Create a table of dimensions of cylinders, and describe (orally) patterns that arise.
Let’s figure out the dimensions of cylinders.
- I can find missing information about a cylinder if I know its volume and some other information.
A cone is a three-dimensional figure like a pyramid, but the base is a circle.
A cylinder is a three-dimensional figure like a prism, but with bases that are circles.
A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.