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 318 mℓ /min. After 12 min, the tap was turned off and the container was
35 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
= 318 x 12
= 3816 mℓ
1 ℓ = 1000 mℓ
3.816 ℓ = 3816 mℓ
Volume of persimmon juice Left in the dispenser
= 6.2 - 3.816
= 2.384 ℓ
Percentage of persimmon juice Left in the dispenser
= 2.384 ÷ 6.2 x 100
= 38.451612903226%
≈ 38.45% (to 2 decimal places)
(b)
Amount of persimmon juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of persimmon juice in the container at first
= 4800 - 3816
= 984 cm
3 1000 cm³ = 1 ℓ
984 cm
3 = 0.984 ℓ
Answer(s): (a) 38.45%; (b) 0.984 ℓ