A cylindrical dispenser of capacity 6.3 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 109 mℓ /min. After 15 min, the tap was turned off and the container was
14 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
= 109 x 15
= 1635 mℓ
1 ℓ = 1000 mℓ
1.635 ℓ = 1635 mℓ
Volume of passion fruit juice Left in the dispenser
= 6.3 - 1.635
= 4.665 ℓ
Percentage of passion fruit juice Left in the dispenser
= 4.665 ÷ 6.3 x 100
= 74.047619047619%
≈ 74.05% (to 2 decimal places)
(b)
Amount of passion fruit juice in the container in the end
= 14 x 20 x 20 x 20 = 2000 cm
3
Amount of passion fruit juice in the container at first
= 2000 - 1635
= 365 cm
3 1000 cm³ = 1 ℓ
365 cm
3 = 0.365 ℓ
Answer(s): (a) 74.05%; (b) 0.365 ℓ