# Cups A and B are cone shaped and have heights of #35 cm# and #23 cm# and openings with radii of #14 cm# and #7 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

6 cm

Therefore, Vol B would fit into cup A. How high will cup A be filled?

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Yes, cup A will overflow. When cup B, which is smaller, is completely emptied into cup A, it will fill cup A to its maximum capacity, causing cup A to overflow.

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