A cylindrical dispenser of capacity 6.2 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 130 mℓ /min. After 22 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
= 130 x 22
= 2860 mℓ
1 ℓ = 1000 mℓ
2.86 ℓ = 2860 mℓ
Volume of persimmon juice Left in the dispenser
= 6.2 - 2.86
= 3.34 ℓ
Percentage of persimmon juice Left in the dispenser
= 3.34 ÷ 6.2 x 100
= 53.870967741935%
≈ 53.87% (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 - 2860
= 340 cm
3 1000 cm³ = 1 ℓ
340 cm
3 = 0.34 ℓ
Answer(s): (a) 53.87%; (b) 0.34 ℓ