To analyze the glass in the form of a frustum of a cone as described, we need to clarify some dimensions and properties for the calculation.
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Dimensions of the Frustum of a Cone:
- The radius of the bottom base (base radius \( r_1 \)): 2 cm
- The radius of the top base (top radius \( r_2 \)): 6 cm
- To fully describe the frustum, we need the height \( h \) of the frustum.
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Volume of the Frustum: The volume \( V \) of a frustum of a cone can be found using the formula: \[ V = \frac{1}{3} \pi h (r_1^2 + r_1 r_2 + r_2^2) \] where \( r_1 \) and \( r_2 \) are the radii of the bottom and top bases, respectively.
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Height of the Frustum: If you do not have the height of the glass, you can express volume in terms of height, or if you can provide how full the glass is, we can calculate the volume of water present.
If you provide additional dimensions or specify what calculations you would like (like the volume of the water or something else), I can help you further!
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