100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 16

16 of 100: What Happens?

A man stuck in a small sailboat on a perfectly calm lake throws a stone overboard. It sinks to the bottom of the lake.

When the water again settles to a perfect calm, is the water level in the lake higher, lower, or in the same place compared to where it was before the stone was cast in?

This problem is a classic. It's very tricky, but there's a clever way to use limits to find and understand the answer intuitively!


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