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Anais1729
@Anais1729
May 2019
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Bonjour j'aurais besoin d'aide pour réduire ce calcul au maximum (étapes par étapes):
π x (d/2)^2 x h + (4xπx(d/2)^3) /3
Merci
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Geijutsu
Verified answer
Bonsoir,
π(d/2)²h+(4π(d/2)³/3) = (3π(d/2)²h/3)+(4π(d/2)³/3) = (3π(d/2)²h+4π(d/2)³)/3 = (3πh(d²/4)+4π(d³/8))/3 = (3πh(d²/4)+π(d³/2))/3 = ((3πhd²/4)+(2πd³/4))/3 = ((3πhd²+2πd³)/4)/3 = (3πhd²+2πd³)/12 = (πd²)(3h+2d)/12
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Bonsoir,π(d/2)²h+(4π(d/2)³/3) = (3π(d/2)²h/3)+(4π(d/2)³/3) = (3π(d/2)²h+4π(d/2)³)/3 = (3πh(d²/4)+4π(d³/8))/3 = (3πh(d²/4)+π(d³/2))/3 = ((3πhd²/4)+(2πd³/4))/3 = ((3πhd²+2πd³)/4)/3 = (3πhd²+2πd³)/12 = (πd²)(3h+2d)/12