A cylindrical dispenser of capacity 5.3 ℓ was filled with passion fruit juice to its brim. The passion fruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 139 mℓ /min. After 19 min, the tap was turned off and the container was
34 full.
- What percentage of the passion fruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of passion fruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of passion fruit juice that was dispensed
= 139 x 19
= 2641 mℓ
1 ℓ = 1000 mℓ
2.641 ℓ = 2641 mℓ
Volume of passion fruit juice Left in the dispenser
= 5.3 - 2.641
= 2.659 ℓ
Percentage of passion fruit juice Left in the dispenser
= 2.659 ÷ 5.3 x 100
= 50.169811320755%
≈ 50.17% (to 2 decimal places)
(b)
Amount of passion fruit juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of passion fruit juice in the container at first
= 6000 - 2641
= 3359 cm
3 1000 cm³ = 1 ℓ
3359 cm
3 = 3.359 ℓ
Answer(s): (a) 50.17%; (b) 3.359 ℓ