Lesson 14

Finding Cylinder Dimensions

Lesson Narrative

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.

Learning Goals

Teacher Facing

  • 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.

Student Facing

Let’s figure out the dimensions of cylinders. 

Learning Targets

Student Facing

  • I can find missing information about a cylinder if I know its volume and some other information.

CCSS Standards

Addressing

Glossary Entries

  • cone

    A cone is a three-dimensional figure like a pyramid, but the base is a circle.

  • cylinder

    A cylinder is a three-dimensional figure like a prism, but with bases that are circles.

  • sphere

    A sphere is a three-dimensional figure in which all cross-sections in every direction are circles.