[size=150][math]m[/math], [math]n[/math], [math]a[/math], [math]b[/math], and [math]c[/math] all represent positive integers. Consider these two equations: [math]m=a+b+c[/math] and [math]n=abc[/math][br][/size][br]Which of these statements are true? Select [b]all[/b] that apply.

Create a true statement of your own about one of the equations.[br]

Han says the volume will be 9 times bigger. Is he right? Explain or show your reasoning.

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If you wanted to increase the surface area of the resulting cylinder, would it make more sense to double [math]x[/math], [math]y[/math], or does it not matter?[br]

How would your answers to these questions change if we made a cylinder by gluing together the solid lines instead of the dashed lines?[br]

[size=150]There are many cones with a height of 7 units. Let [math]r[/math] represent the radius and [math]V[/math] represent the volume of these cones.[/size][br][br]Write an equation that expresses the relationship between [math]V[/math] and [math]r[/math]. Use 3.14 as an approximation for [math]pi[/math].

Predict what happens to the volume if you triple the value of [math]r[/math].

What happens to the volume if you triple [math]r[/math]? Where do you see this in the graph? How can you see it algebraically?

Where do you see this in the graph?

How can you see it algebraically?