Pour aller plus loin (Ancien programme) - 3e
Solides
Exercice 1 : Calcul de l'aire d'une sphère
Soit une sphère de \( 7 cm \) de rayon.
Calculer son aire.On donnera un résultat exact.
Exercice 2 : Calcul d'un rayon à partir de l'aire d'une sphère
Soit une sphère d'aire \(169\:cm^{2}\). Calculer son rayon.
On donnera le résultat sous la forme d'une valeur exacte avec \( \sqrt{\pi } \).Exercice 3 : Lire les coordonnées d'un point dans un plan 3D
Dans le repère ci-dessous, donner les coordonnées du point M sous la forme \((x ; y ; z)\).
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"Segment", "pt1": {"x": 48.0, "y": 48.0, "z": 48.0}, "pt2": {"x": 0.0, "y": 48.0, "z": 48.0}, "point_render": {"visible": false}, "label_render": {"visible": false}, "line_render": {"color": 204, "dashed": true}}}}
Exercice 4 : Calcul de l'aire d'une sphère
Soit une sphère de \( 14 cm \) de rayon.
Calculer son aire.On donnera un résultat exact.
Exercice 5 : Calcul d'un rayon à partir de l'aire d'une sphère
Soit une sphère d'aire \(256\:cm^{2}\). Calculer son rayon.
On donnera le résultat sous la forme d'une valeur exacte avec \( \sqrt{\pi } \).