• Hedgehog@lemmy.blahaj.zone
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    11 months ago

    Turns out it’d be a dissapointingly small sphere:

    US annual defence budget = $800 billion

    2% = $16 billion

    Obsidian cost per kg = $5

    Total kg in budget = 3.2 billion kg

    Density of obsidian = 2.6 g/cm3 = 2600 kg/m3

    Total volume of sphere = 3.2b/2600 = 1230769 m3

    Volume of sphere = 4/3 π r^3

    Radius = (3V/4π)^(1/3) = 66.48 m

    The sphere would only stand at 133m tall, I propose we instead utilise the entire defence budget for a much more skyscraper like 490m tall orb