To determine which would contain the greater volume, we can use the volume formulas for both the cylinder and the cone.
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Volume of a cylinder: \[ V_{cylinder} = \pi r^2 h \] where \( r \) is the radius and \( h \) is the height of the cylinder.
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Volume of a cone: \[ V_{cone} = \frac{1}{3} \pi r^2 h \] where \( r \) is the radius and \( h \) is the height of the cone.
From these formulas, we can see that the volume of the cone is one-third of the volume of the cylinder when both have the same radius and height:
- If both have the same radius and height, then: \[ V_{cone} = \frac{1}{3} V_{cylinder} \]
Therefore, the cylinder will contain the greater volume.
Answer: Cylinder
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