A cylindrical dispenser of capacity 5.3 ℓ was filled with lemon juice to its brim. The lemon juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 122 mℓ /min. After 14 min, the tap was turned off and the container was ³₄ full.

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

(a)
Volume of lemon juice that was dispensed
= 122 x 14
= 1708 mℓ

1 ℓ = 1000 mℓ
1.708 ℓ = 1708 mℓ

Volume of lemon juice Left in the dispenser
= 5.3 - 1.708
= 3.592 ℓ

Percentage of lemon juice Left in the dispenser
= 3.592 ÷ 5.3 x 100
= 67.77358490566%
≈ 67.77% (to 2 decimal places)

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

Amount of lemon juice in the container at first
= 4374 - 1708
= 2666 cm³

1000 cm³ = 1  ℓ
2666 cm³ = 2.666 ℓ

Answer(s): (a) 67.77%; (b) 2.666 ℓ