A cylindrical dispenser of capacity 5.2 ℓ was filled with mangosteen juice to its brim. The mangosteen juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 205 mℓ /min. After 20 min, the tap was turned off and the container was
34 full.
- What percentage of the mangosteen juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of mangosteen juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of mangosteen juice that was dispensed
= 205 x 20
= 4100 mℓ
1 ℓ = 1000 mℓ
4.1 ℓ = 4100 mℓ
Volume of mangosteen juice Left in the dispenser
= 5.2 - 4.1
= 1.1 ℓ
Percentage of mangosteen juice Left in the dispenser
= 1.1 ÷ 5.2 x 100
= 21.153846153846%
≈ 21.15% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 34 x 18 x 18 x 18 = 4374 cm
3
Amount of mangosteen juice in the container at first
= 4374 - 4100
= 274 cm
3 1000 cm³ = 1 ℓ
274 cm
3 = 0.274 ℓ
Answer(s): (a) 21.15%; (b) 0.274 ℓ