A cylindrical dispenser of capacity 6.3 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 131 mℓ /min. After 19 min, the tap was turned off and the container was
34 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
= 131 x 19
= 2489 mℓ
1 ℓ = 1000 mℓ
2.489 ℓ = 2489 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.3 - 2.489
= 3.811 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 3.811 ÷ 6.3 x 100
= 60.492063492063%
≈ 60.49% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 34 x 18 x 18 x 18 = 4374 cm
3
Amount of dragonfruit juice in the container at first
= 4374 - 2489
= 1885 cm
3 1000 cm³ = 1 ℓ
1885 cm
3 = 1.885 ℓ
Answer(s): (a) 60.49%; (b) 1.885 ℓ