A cylindrical dispenser of capacity 5.5 ℓ was filled with pomegranate juice to its brim. The pomegranate juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 330 mℓ /min. After 10 min, the tap was turned off and the container was ³₄ 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
= 330 x 10
= 3300 mℓ

1 ℓ = 1000 mℓ
3.3 ℓ = 3300 mℓ

Volume of pomegranate juice Left in the dispenser
= 5.5 - 3.3
= 2.2 ℓ

Percentage of pomegranate juice Left in the dispenser
= 2.2 ÷ 5.5 x 100
= 40%
≈ 40.00% (to 2 decimal places)

(b)
Amount of pomegranate juice in the container in the end
= ³₄ x 18 x 18 x 18
= 4374 cm³

Amount of pomegranate juice in the container at first
= 4374 - 3300
= 1074 cm³

1000 cm³ = 1  ℓ
1074 cm³ = 1.074 ℓ

Answer(s): (a) 40.00%; (b) 1.074 ℓ