A cylindrical dispenser of capacity 5.2 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 293 mℓ /min. After 20 min, the tap was turned off and the container was
45 full.
- What percentage of the dragonfruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of dragonfruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of dragonfruit juice that was dispensed
= 293 x 20
= 5860 mℓ
1 ℓ = 1000 mℓ
5.86 ℓ = 5860 mℓ
Volume of dragonfruit juice Left in the dispenser
= 5.2 - 5.86
= -0.66 ℓ
Percentage of dragonfruit juice Left in the dispenser
= -0.66 ÷ 5.2 x 100
= -12.692307692308%
≈ -12.69% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of dragonfruit juice in the container at first
= 6400 - 5860
= 540 cm
3 1000 cm³ = 1 ℓ
540 cm
3 = 0.54 ℓ
Answer(s): (a) -12.69%; (b) 0.54 ℓ