A cylindrical dispenser of capacity 5.7 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 239 mℓ /min. After 14 min, the tap was turned off and the container was ²₃ full.

1. What percentage of the dragonfruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
2. 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
= 239 x 14
= 3346 mℓ

1 ℓ = 1000 mℓ
3.346 ℓ = 3346 mℓ

Volume of dragonfruit juice Left in the dispenser
= 5.7 - 3.346
= 2.354 ℓ

Percentage of dragonfruit juice Left in the dispenser
= 2.354 ÷ 5.7 x 100
= 41.298245614035%
≈ 41.30% (to 2 decimal places)

(b)
Amount of dragonfruit juice in the container in the end
= ²₃ x 18 x 18 x 18
= 3888 cm³

Amount of dragonfruit juice in the container at first
= 3888 - 3346
= 542 cm³

1000 cm³ = 1  ℓ
542 cm³ = 0.542 ℓ

Answer(s): (a) 41.30%; (b) 0.542 ℓ