Lesson 22: Practice Problems
Problem 1
There are many cylinders with a height of 18 meters. Let
Write an equation that represents the volume
as a function of the radius . Complete this table, giving three possible examples.
If the radius of a cylinder is doubled, does the volume double? Explain how you know.
Is the graph of this function a line? Explain how you know.
Problem 2 From Unit 6 Lesson 3
As part of a competition, Diego must spin around in a circle 6 times and then run to a tree. The time he spends on each spin is represented by
Write an equation showing the relationship between
and . Rearrange the equation so that it shows
as a function of . If it takes Diego 1.2 seconds to spin around each time, how many seconds did he spend running?
Problem 3 From Unit 6 Lesson 7
The table and graph represent two functions. Use the table and graph to answer the questions.
![A graph with a curved line that rises and falls and goes through (0,0)](../../../../../../embeds/4a23231a--8.5.B7.PP.Image.103.png)
For which values of
is the output from the table less than the output from the graph? In the graphed function, which values of
give an output of 0?
Problem 4
A cone has a radius of 3 units and a height of 4 units.
What is this volume of this cone?
Another cone has quadruple the radius, and the same height. How many times larger is the new cone’s volume?