A cylindrical dispenser of capacity 5.6 ℓ was filled with mangosteen juice to its brim. The mangosteen juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 224 mℓ /min. After 17 min, the tap was turned off and the container was
35 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
= 224 x 17
= 3808 mℓ
1 ℓ = 1000 mℓ
3.808 ℓ = 3808 mℓ
Volume of mangosteen juice Left in the dispenser
= 5.6 - 3.808
= 1.792 ℓ
Percentage of mangosteen juice Left in the dispenser
= 1.792 ÷ 5.6 x 100
= 32%
≈ 32.00% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of mangosteen juice in the container at first
= 4800 - 3808
= 992 cm
3 1000 cm³ = 1 ℓ
992 cm
3 = 0.992 ℓ
Answer(s): (a) 32.00%; (b) 0.992 ℓ