Ukážeme, že polokoule o poloměru [i]r[/i] (vlevo) má stejný objem jako válec s podstavou o poloměru [i]r[/i] a o výšce [i]r[/i], z něhož je vyříznut obrácený [url=https://cs.wikipedia.org/wiki/Ku%C5%BEel]kužel[/url][i] o výšce r [/i]s podstavou o poloměru [i]r [/i](vpravo). Obě dvě tělesa seřízneme rovinou kolmou k ose válce. Musíme dokázat, že pro libovolnou polohu roviny, mají řezy stejný obsah. Posunutím červeného bodu můžete měnit výšku roviny [i]h[/i] řezu. [br](a) Vyjádřete [i]x[/i] a [i]y[/i] v závislosti na [i]r[/i] a [i]h[/i].[br](b) Dokažte, že mají řezy stejný obsah?[br](c) Užitím vzorce pro objem válce a kužele dokažte vzorec pro objem [i]V[/i] koule o poloměru [i]r[/i].[br][br][center][img width=110,height=50]https://lh4.googleusercontent.com/YOLa0J_EAjfOOQ06BHxz69Q4nOzarSQfV4nVjz1ABoU65VJu0NCa514312rivDoWZKt3tAingSC46TNK_AP6SdJvEIkVyCFuBun-5VNttirYhzwVQkN1pOXOLs9u3fN10YbIO-Fw[/img][/center]
Pokud se vám důkaz nedaří, prostudujte si článek [url=https://cs.wikipedia.org/wiki/Cavalieri%C5%AFv_princip]Cavalierův princip[/url] na Wikipedii.
Podrobný návod na vytvoření stl modelu v GeoGebře pro 3D tisk v materiálu [url=https://www.geogebra.org/m/mnh4jcbh]Archimédův přípitek[/url].[center][br][br][img]data:image/png;base64,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[/img][br][/center]