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Lets assume the Dyson swarm would be built at 1 AU or 149,597,870,700 m ~= 150e9 m from the Sun.

Lets assume energy converting photovoltaics will be made of non-crystalline materials with a high light absorption coefficient allowing solar cell thickness of ~100 nm = 100e-9 m.

Sphere surface is 4pir^2, in our case 43.14150e9^2 = 3e23 m2 * 100e-9 m = 3e16 m3 is the total volume occupied by a Dyson swarm tech.

For comparison the volume of matter that Earth contains is 1e21 m3, which is 1e21/3e16 ~= 1e5 = 100,000 times larger than what is required for a Dyson swarm.



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