Lesson 18: 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 5 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 5 Lesson 7
The table and graph represent two functions. Use the table and graph to answer the questions.
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?