A cylindrical dispenser of capacity 6.2 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 15 cm, through a tap flowing at a rate of 116 mℓ /min. After 13 min, the tap was turned off and the container was
35 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
= 116 x 13
= 1508 mℓ
1 ℓ = 1000 mℓ
1.508 ℓ = 1508 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.2 - 1.508
= 4.692 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 4.692 ÷ 6.2 x 100
= 75.677419354839%
≈ 75.68% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 35 x 15 x 15 x 15 = 2025 cm
3
Amount of dragonfruit juice in the container at first
= 2025 - 1508
= 517 cm
3 1000 cm³ = 1 ℓ
517 cm
3 = 0.517 ℓ
Answer(s): (a) 75.68%; (b) 0.517 ℓ