A cylindrical dispenser of capacity 5.9 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 259 mℓ /min. After 13 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
= 259 x 13
= 3367 mℓ
1 ℓ = 1000 mℓ
3.367 ℓ = 3367 mℓ
Volume of passion fruit juice Left in the dispenser
= 5.9 - 3.367
= 2.533 ℓ
Percentage of passion fruit juice Left in the dispenser
= 2.533 ÷ 5.9 x 100
= 42.932203389831%
≈ 42.93% (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 - 3367
= 3033 cm
3 1000 cm³ = 1 ℓ
3033 cm
3 = 3.033 ℓ
Answer(s): (a) 42.93%; (b) 3.033 ℓ