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Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cyliner is 54pi inches cubed. Cylinder B also had a radius of 3 inches, but the height is doubled. What is the relationship between the volumes of the two cylinders?

Karen calculates the volume of cylinder A with a radius of 3 inches and a height of 6 inches The volume of this cyliner is 54pi inches cubed Cylinder B also had class=

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check the picture below.

[tex]\bf \cfrac{large}{small}\qquad \cfrac{\pi r^2h}{\pi r^2 h}\implies \cfrac{\underline{\pi \cdot 3^2}\cdot 12}{\underline{\pi \cdot 3^2}\cdot 6}\implies \cfrac{12}{6}\implies \cfrac{2}{1}[/tex]

large to small, 2:1.
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