A cylindrical dispenser of capacity 6.5 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 126 mℓ /min. After 11 min, the tap was turned off and the container was
14 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
= 126 x 11
= 1386 mℓ
1 ℓ = 1000 mℓ
1.386 ℓ = 1386 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.5 - 1.386
= 5.114 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 5.114 ÷ 6.5 x 100
= 78.676923076923%
≈ 78.68% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 14 x 20 x 20 x 20 = 2000 cm
3
Amount of dragonfruit juice in the container at first
= 2000 - 1386
= 614 cm
3 1000 cm³ = 1 ℓ
614 cm
3 = 0.614 ℓ
Answer(s): (a) 78.68%; (b) 0.614 ℓ