A cylindrical dispenser of capacity 6.2 ℓ was filled with mangosteen juice to its brim. The mangosteen juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 116 mℓ /min. After 23 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
= 116 x 23
= 2668 mℓ
1 ℓ = 1000 mℓ
2.668 ℓ = 2668 mℓ
Volume of mangosteen juice Left in the dispenser
= 6.2 - 2.668
= 3.532 ℓ
Percentage of mangosteen juice Left in the dispenser
= 3.532 ÷ 6.2 x 100
= 56.967741935484%
≈ 56.97% (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 - 2668
= 3732 cm
3 1000 cm³ = 1 ℓ
3732 cm
3 = 3.732 ℓ
Answer(s): (a) 56.97%; (b) 3.732 ℓ