A cylindrical dispenser of capacity 6.8 ℓ was filled with mango juice to its brim. The mango juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 112 mℓ /min. After 11 min, the tap was turned off and the container was
34 full.
- What percentage of the mango juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of mango juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of mango juice that was dispensed
= 112 x 11
= 1232 mℓ
1 ℓ = 1000 mℓ
1.232 ℓ = 1232 mℓ
Volume of mango juice Left in the dispenser
= 6.8 - 1.232
= 5.568 ℓ
Percentage of mango juice Left in the dispenser
= 5.568 ÷ 6.8 x 100
= 81.882352941176%
≈ 81.88% (to 2 decimal places)
(b)
Amount of mango juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of mango juice in the container at first
= 6000 - 1232
= 4768 cm
3 1000 cm³ = 1 ℓ
4768 cm
3 = 4.768 ℓ
Answer(s): (a) 81.88%; (b) 4.768 ℓ