A cylindrical dispenser of capacity 6.5 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 374 mℓ /min. After 16 min, the tap was turned off and the container was
45 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
= 374 x 16
= 5984 mℓ
1 ℓ = 1000 mℓ
5.984 ℓ = 5984 mℓ
Volume of mangosteen juice Left in the dispenser
= 6.5 - 5.984
= 0.516 ℓ
Percentage of mangosteen juice Left in the dispenser
= 0.516 ÷ 6.5 x 100
= 7.9384615384615%
≈ 7.94% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of mangosteen juice in the container at first
= 6400 - 5984
= 416 cm
3 1000 cm³ = 1 ℓ
416 cm
3 = 0.416 ℓ
Answer(s): (a) 7.94%; (b) 0.416 ℓ