A cylindrical dispenser of capacity 5.4 ℓ was filled with persimmon juice to its brim. The persimmon juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 289 mℓ /min. After 10 min, the tap was turned off and the container was
25 full.
- What percentage of the persimmon juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of persimmon juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of persimmon juice that was dispensed
= 289 x 10
= 2890 mℓ
1 ℓ = 1000 mℓ
2.89 ℓ = 2890 mℓ
Volume of persimmon juice Left in the dispenser
= 5.4 - 2.89
= 2.51 ℓ
Percentage of persimmon juice Left in the dispenser
= 2.51 ÷ 5.4 x 100
= 46.481481481481%
≈ 46.48% (to 2 decimal places)
(b)
Amount of persimmon juice in the container in the end
= 25 x 20 x 20 x 20 = 3200 cm
3
Amount of persimmon juice in the container at first
= 3200 - 2890
= 310 cm
3 1000 cm³ = 1 ℓ
310 cm
3 = 0.31 ℓ
Answer(s): (a) 46.48%; (b) 0.31 ℓ