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MathNet 2016-part-07 — 182 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 116

Let $\mathcal{V}$ be the volume enclosed by the graph
$$
x^{2016}+y^{2016}+z^{2}=2016
$$
Find $\mathcal{V}$ rounded to the nearest multiple of ten.