# Lesson 14 Classwork

- Author:
- Arpit Kesharwani

## Student Facing Assignments Review

The volume V of a cylinder with radius r is given by the formula V=πr2h.

- The volume of this cylinder with radius 5 units is 50π cubic units. This statement is true:50π=52πhWhat does the height of this cylinder have to be? Explain how you know.
- The volume of this cylinder with height 4 units is 36π cubic units. This statement is true:36π=r2π4What does the radius of this cylinder have to be? Explain how you know.

"Are you ready for more?"Suppose a cylinder has a volume of 36π cubic inches, but it is not the same cylinder as the one you found earlier in this activity.

- What are some possibilities for the dimensions of the cylinder?
- How many different cylinders can you find that have a volume of 36πcubic inches?

Student-Facing Task StatementThis cylinder has a volume of 12π cubic inches and a diameter of 4 inches. Find the cylinder's radius and height.