A cylindrical dispenser of capacity 6.8 ℓ was filled with pomegranate juice to its brim. The pomegranate juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 350 mℓ /min. After 16 min, the tap was turned off and the container was ⁴₅ full.

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

(a)
Volume of pomegranate juice that was dispensed
= 350 x 16
= 5600 mℓ

1 ℓ = 1000 mℓ
5.6 ℓ = 5600 mℓ

Volume of pomegranate juice Left in the dispenser
= 6.8 - 5.6
= 1.2 ℓ

Percentage of pomegranate juice Left in the dispenser
= 1.2 ÷ 6.8 x 100
= 17.647058823529%
≈ 17.65% (to 2 decimal places)

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

Amount of pomegranate juice in the container at first
= 6400 - 5600
= 800 cm³

1000 cm³ = 1  ℓ
800 cm³ = 0.8 ℓ

Answer(s): (a) 17.65%; (b) 0.8 ℓ