A cylindrical dispenser of capacity 5.6 ℓ was filled with guava juice to its brim. The guava juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 257 mℓ /min. After 10 min, the tap was turned off and the container was ³₄ full.

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

(a)
Volume of guava juice that was dispensed
= 257 x 10
= 2570 mℓ

1 ℓ = 1000 mℓ
2.57 ℓ = 2570 mℓ

Volume of guava juice Left in the dispenser
= 5.6 - 2.57
= 3.03 ℓ

Percentage of guava juice Left in the dispenser
= 3.03 ÷ 5.6 x 100
= 54.107142857143%
≈ 54.11% (to 2 decimal places)

(b)
Amount of guava juice in the container in the end
= ³₄ x 20 x 20 x 20
= 6000 cm³

Amount of guava juice in the container at first
= 6000 - 2570
= 3430 cm³

1000 cm³ = 1  ℓ
3430 cm³ = 3.43 ℓ

Answer(s): (a) 54.11%; (b) 3.43 ℓ