A cylindrical dispenser of capacity 6.6 ℓ was filled with peach juice to its brim. The peach juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 288 mℓ /min. After 17 min, the tap was turned off and the container was ⁴₅ full.

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

(a)
Volume of peach juice that was dispensed
= 288 x 17
= 4896 mℓ

1 ℓ = 1000 mℓ
4.896 ℓ = 4896 mℓ

Volume of peach juice Left in the dispenser
= 6.6 - 4.896
= 1.704 ℓ

Percentage of peach juice Left in the dispenser
= 1.704 ÷ 6.6 x 100
= 25.818181818182%
≈ 25.82% (to 2 decimal places)

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

Amount of peach juice in the container at first
= 6400 - 4896
= 1504 cm³

1000 cm³ = 1  ℓ
1504 cm³ = 1.504 ℓ

Answer(s): (a) 25.82%; (b) 1.504 ℓ