# Lesson 11

Filling Containers

### Problem 1

Cylinder A, B, and C have the same radius but different heights. Put the cylinders in order of their volume from least to greatest.

### Problem 2

Two cylinders, $$a$$ and $$b$$, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of $$a$$ and $$b$$ to Cylinders P and Q. Explain your reasoning.

### Problem 3

Which of the following graphs could represent the volume of water in a cylinder as a function of its height? Explain your reasoning.

### Problem 4

Together, the areas of the rectangles sum to 30 square centimeters.

1. Write an equation showing the relationship between $$x$$ and $$y$$.
2. Fill in the table with the missing values.
 $$x$$ $$y$$ 3 8 12 5 10