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 r3
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
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 r3 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