A cylindrical dispenser of capacity 6.3 ℓ was filled with mango juice to its brim. The mango juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 252 mℓ /min. After 13 min, the tap was turned off and the container was ³₄ full.

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

(a)
Volume of mango juice that was dispensed
= 252 x 13
= 3276 mℓ

1 ℓ = 1000 mℓ
3.276 ℓ = 3276 mℓ

Volume of mango juice Left in the dispenser
= 6.3 - 3.276
= 3.024 ℓ

Percentage of mango juice Left in the dispenser
= 3.024 ÷ 6.3 x 100
= 48%
≈ 48.00% (to 2 decimal places)

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

Amount of mango juice in the container at first
= 6000 - 3276
= 2724 cm³

1000 cm³ = 1  ℓ
2724 cm³ = 2.724 ℓ

Answer(s): (a) 48.00%; (b) 2.724 ℓ