A cylindrical dispenser of capacity 5.6 ℓ was filled with passion fruit juice to its brim. The passion fruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 140 mℓ /min. After 22 min, the tap was turned off and the container was ⁴₅ full.

1. What percentage of the passion fruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
2. How many litres of passion fruit juice were there in the container at first? (1 ℓ = 1000 cm³)

(a)
Volume of passion fruit juice that was dispensed
= 140 x 22
= 3080 mℓ

1 ℓ = 1000 mℓ
3.08 ℓ = 3080 mℓ

Volume of passion fruit juice Left in the dispenser
= 5.6 - 3.08
= 2.52 ℓ

Percentage of passion fruit juice Left in the dispenser
= 2.52 ÷ 5.6 x 100
= 45%
≈ 45.00% (to 2 decimal places)

(b)
Amount of passion fruit juice in the container in the end
= ⁴₅ x 20 x 20 x 20
= 6400 cm³

Amount of passion fruit juice in the container at first
= 6400 - 3080
= 3320 cm³

1000 cm³ = 1  ℓ
3320 cm³ = 3.32 ℓ

Answer(s): (a) 45.00%; (b) 3.32 ℓ