Pour aller plus loin (Ancien programme) - 4e

Solides

Exercice 1 : Volume d'un cylindre de révolution et conversion

On assimile un flacon de savon liquide à un cylindre de révolution d'une hauteur de 5 cm et de 4 cm de rayon.

Sachant qu'à chaque pression, 2mL de savon s'écoulent, combien de pressions doit-on exercer pour vider totalement le flacon ?

Exercice 2 : Calcul d'une hauteur à partir du volume d'un cylindre de révolution

Un cylindre de révolution a un volume de \( 18720 cm^{3} \) et l'aire de sa base est de \( 780 cm^{2} \).

Quelle est sa hauteur?
On donnera la réponse suivie de l'unité qui convient.

Exercice 3 : Conversion d'aires

Convertir \( 25\:\text{cm}^{2} \) en \( \text{km}^{2} \).
On écrira la réponse sous la forme d'un entier ou d'un nombre décimal non entier.

Exercice 4 : Lire latitude ou longitude d'une ville sur terre à partir des parallèles et méridiens

Sur le schéma ci-dessous, le point D symbolise la ville de Murcie (Espagne).

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On pourra faire pivoter la figure en cliquant dessus.

Légende

Méridien d'origine Greenwich 0°
Méridiens (espacés de 20°)
Équateur 0°
Parallèles (espacés de 20°)
N : Pôle nord
S : Pôle sud
D : Ville de Murcie

Donner la latitude de la ville de Murcie (Espagne).
Exemples de format de réponses attendu : \(80°N\), \(60°S\), \(80°E\) ou \(20°O\)

Exercice 5 : Calcul de la hauteur d'un cylindre de révolution

Calculer la hauteur d'une boîte de conserve cylindrique d'un volume de \( 25 cm^{3} \) et de \( 4 cm \) de diamètre.
On donnera un résultat arrondi au centimètre près, suivi de l'unité qui convient.

Revenir au choix du niveau