A cylindrical dispenser of capacity 5.1 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 383 mℓ /min. After 15 min, the tap was turned off and the container was
45 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
= 383 x 15
= 5745 mℓ
1 ℓ = 1000 mℓ
5.745 ℓ = 5745 mℓ
Volume of passion fruit juice Left in the dispenser
= 5.1 - 5.745
= -0.645 ℓ
Percentage of passion fruit juice Left in the dispenser
= -0.645 ÷ 5.1 x 100
= -12.647058823529%
≈ -12.65% (to 2 decimal places)
(b)
Amount of passion fruit juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of passion fruit juice in the container at first
= 6400 - 5745
= 655 cm
3 1000 cm³ = 1 ℓ
655 cm
3 = 0.655 ℓ
Answer(s): (a) -12.65%; (b) 0.655 ℓ