A cylindrical dispenser of capacity 6.5 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 218 mℓ /min. After 14 min, the tap was turned off and the container was
25 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
= 218 x 14
= 3052 mℓ
1 ℓ = 1000 mℓ
3.052 ℓ = 3052 mℓ
Volume of mango juice Left in the dispenser
= 6.5 - 3.052
= 3.448 ℓ
Percentage of mango juice Left in the dispenser
= 3.448 ÷ 6.5 x 100
= 53.046153846154%
≈ 53.05% (to 2 decimal places)
(b)
Amount of mango juice in the container in the end
= 25 x 20 x 20 x 20 = 3200 cm
3
Amount of mango juice in the container at first
= 3200 - 3052
= 148 cm
3 1000 cm³ = 1 ℓ
148 cm
3 = 0.148 ℓ
Answer(s): (a) 53.05%; (b) 0.148 ℓ