A cylindrical dispenser of capacity 5.1 ℓ was filled with mangosteen juice to its brim. The mangosteen juice in the dispenser was then dispensed into a cubical container of sides 15 cm, through a tap flowing at a rate of 127 mℓ /min. After 10 min, the tap was turned off and the container was
23 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
= 127 x 10
= 1270 mℓ
1 ℓ = 1000 mℓ
1.27 ℓ = 1270 mℓ
Volume of mangosteen juice Left in the dispenser
= 5.1 - 1.27
= 3.83 ℓ
Percentage of mangosteen juice Left in the dispenser
= 3.83 ÷ 5.1 x 100
= 75.098039215686%
≈ 75.10% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 23 x 15 x 15 x 15 = 2250 cm
3
Amount of mangosteen juice in the container at first
= 2250 - 1270
= 980 cm
3 1000 cm³ = 1 ℓ
980 cm
3 = 0.98 ℓ
Answer(s): (a) 75.10%; (b) 0.98 ℓ