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HopeAndDignity
@HopeAndDignity
January 2021
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Bonjour, j'aurai besoin d'aide pour cet exo svp :)
Dans un cube de côté a, on perce un trou en forme de cylindre et de rayon a/4.
Donner le volume du solide obtenu sous la forme d'une expression factorisée.
Merci d'avance !
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ficanas06
Verified answer
Volume du cube : a³
Volume du cylindre: (a/4)² * 3.14 * a= a²/16 * 3.14 * a = (a³/16) * 3.14 = 3.14a³/16
volume du solide obtenu:
a³ - 3.14a³/16 = a³(1-3.14/16) = 0.80375a³
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Verified answer
Volume du cube : a³Volume du cylindre: (a/4)² * 3.14 * a= a²/16 * 3.14 * a = (a³/16) * 3.14 = 3.14a³/16
volume du solide obtenu:
a³ - 3.14a³/16 = a³(1-3.14/16) = 0.80375a³