Write an equation that represents the volume [math]V[/math] as a function of the radius [math]r[/math].
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.
Write an equation showing the relationship between [math]s[/math] and [math]r[/math].[br]
Rearrange the equation so that it shows [math]r[/math] as a function of [math]s[/math].[br]
If it takes Diego 1.2 seconds to spin around each time, how many seconds did he spend running?[br]
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[/img][br][img]data:image/png;base64,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[/img][br][br]For which values of [math]x[/math] is the output from the table less than the output from the graph?
In the graphed function, which values of [math]x[/math] give an output of 0?
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?