A cylindrical dispenser of capacity 6.2 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 359 mℓ /min. After 14 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
= 359 x 14
= 5026 mℓ
1 ℓ = 1000 mℓ
5.026 ℓ = 5026 mℓ
Volume of passion fruit juice Left in the dispenser
= 6.2 - 5.026
= 1.174 ℓ
Percentage of passion fruit juice Left in the dispenser
= 1.174 ÷ 6.2 x 100
= 18.935483870968%
≈ 18.94% (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 - 5026
= 1374 cm
3 1000 cm³ = 1 ℓ
1374 cm
3 = 1.374 ℓ
Answer(s): (a) 18.94%; (b) 1.374 ℓ