Calculus Problem - Please Solve?
A vase is formed by rotating y=x^2 around the y-axis. If we drop in a marble, it will either touch the bottom point of the vase or be suspended above the bottom by touching the sides. How small must the marble be to touch the bottom?
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Answers & Comments
The radius of marble must be less than one to touch bottom and not sides. At radius 1 it will touch the bottom and sides, greater than one and will get stuck.