this post was submitted on 20 Jan 2025
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Technically yes, but practically no for the first question. Properly stored nuclear waste has very minimal radiation leakage.
As for the second, it's complicated. The actual amount of radioactive waste is less than 10,000 cubic meters. There's quite a bit more than that of just water that has become toxic due to radiation, but the storage requirements of that are much lower. Here's a rough infographic: https://www.visualcapitalist.com/visualizing-all-the-nuclear-waste-in-the-world/
Also, while The low level waste would still fit in a single square mile if you were restricted to that, using natural caves is a lot cheaper and easier than building tanks, so it's not exactly a realistic solution.
Thanks for the detailed reply.
So basically it's as safe as you trust the fail rate to be. Which isn't super risky, provided you can trust your construction.