EXERCISE 5: A tank has the shape of a cone 6 m high, the base of which is a disc with a radius of 3 m. 1) a) Show that its exact volume V, in m 3, is equal to 18 and then round it off to the nearest m 3. b) Does this volume represent more or less than 10,000 liters? 2) There is a pump which delivers 15 liters per second to fill this tank. Does it take more or less than an hour to completely fill this tank? 3) This tank is partially filled with water over a height of 4 m. What is the exact volume of water V ’contained in the basin.
1a) The tank is a cone, so we apply the cone formula π * r^2 * (h/3). Substituting gives us π*9*2= 18π. 18*π ~= 56.54 rounds to 57 m^3.
1a) Le réservoir est un cône, nous appliquons donc la formule du cône π * r ^ 2 * (h / 3). La substitution nous donne π * 9 * 2 = 18π. 18 * π ~ = 56.54 coups à 57 m ^ 3.
1b) One cubic meter is equivalent to 1000 liters. For the total to be greater than 10000, we must have more than 10 cubic meters. Our result above is much more than ten, so yes.
1b) Un mètre cube équivaut à 1000 litres. Pour que le total soit supérieur à 10000, nous devons avoir plus de 10 mètres cubes. Notre résultat ci-dessus est bien plus de dix, alors oui.
2) There are 60 seconds in an minute, so 60*15 = 900 liters/ minute. 60 minutes in an hour, so 900*60 = 54000 liters/ hour. We round our answer from a) to 56. 56 * 1000 literes = 56000. This is more than 54000, so this exeeds one hour to fill.
2) Il y a 60 secondes par minute, donc 60 * 15 = 900 litres / minute. 60 minutes en une heure, donc 900 * 60 = 54000 litres / heure. Nous arrondissons notre réponse de a) à 56. 56 * 1000 litres = 56000. C'est plus de 54000, donc cela prend une heure pour se remplir.
3) I apologize, I am not sure how to do this problem.
3)Je m'excuse de ne pas savoir comment résoudre ce problème.
Next time please translate this to english as reading/writing a foreign language may be hard to some.
La prochaine fois, veuillez traduire ceci en anglais.
+1005 