A cylindrical dispenser of capacity 6.2 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 343 mℓ /min. After 12 min, the tap was turned off and the container was
35 full.
- What percentage of the dragonfruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of dragonfruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of dragonfruit juice that was dispensed
= 343 x 12
= 4116 mℓ
1 ℓ = 1000 mℓ
4.116 ℓ = 4116 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.2 - 4.116
= 2.084 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 2.084 ÷ 6.2 x 100
= 33.612903225806%
≈ 33.61% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of dragonfruit juice in the container at first
= 4800 - 4116
= 684 cm
3 1000 cm³ = 1 ℓ
684 cm
3 = 0.684 ℓ
Answer(s): (a) 33.61%; (b) 0.684 ℓ