Round: 381
Faerieland is a wonderful world that rests on magical clouds that float over Neopia. (Well, at least, they used to float over Neopia...)
These clouds are made of a special magical lightweight polymer material that supports the weight of the world on top of it. The clouds weigh 63.4 kilograms per cubic metre. And the cloud is a massive hemisphere, 3450 metres in diameter. Also, assume all of the buildings, faeries, and other objects on top of the cloud weigh 750,000 kg.
If one faerie's magic can cause 123,456 kg of weight to float in the sky, how many faeries are required to keep all of Faerieland floating? Disregard any buoyancy effect from the surrounding air, and be sure to round up to the nearest whole number.
Answer: 5520819
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