olymmath

Putnam 2006 A1

  • Session A

Find the volume of the region of points (x,y,z)(x,y,z) such that (x2+y2+z2+8)2≤36(x2+y2).(x^2 + y^2 + z^2 + 8)^2 \leq 36(x^2 + y^2).

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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