A cylindrical dispenser of capacity 5.3 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 113 mℓ /min. After 24 min, the tap was turned off and the container was
25 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
= 113 x 24
= 2712 mℓ
1 ℓ = 1000 mℓ
2.712 ℓ = 2712 mℓ
Volume of mangosteen juice Left in the dispenser
= 5.3 - 2.712
= 2.588 ℓ
Percentage of mangosteen juice Left in the dispenser
= 2.588 ÷ 5.3 x 100
= 48.830188679245%
≈ 48.83% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 25 x 20 x 20 x 20 = 3200 cm
3
Amount of mangosteen juice in the container at first
= 3200 - 2712
= 488 cm
3 1000 cm³ = 1 ℓ
488 cm
3 = 0.488 ℓ
Answer(s): (a) 48.83%; (b) 0.488 ℓ