# 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.

### Student Facing

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

### 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.

### Print Formatted Materials

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