A cylindrical dispenser of capacity 6.6 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 108 mℓ /min. After 10 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
= 108 x 10
= 1080 mℓ
1 ℓ = 1000 mℓ
1.08 ℓ = 1080 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.6 - 1.08
= 5.52 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 5.52 ÷ 6.6 x 100
= 83.636363636364%
≈ 83.64% (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 - 1080
= 945 cm
3 1000 cm³ = 1 ℓ
945 cm
3 = 0.945 ℓ
Answer(s): (a) 83.64%; (b) 0.945 ℓ