A cylindrical dispenser of capacity 6.3 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 279 mℓ /min. After 11 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
= 279 x 11
= 3069 mℓ
1 ℓ = 1000 mℓ
3.069 ℓ = 3069 mℓ
Volume of persimmon juice Left in the dispenser
= 6.3 - 3.069
= 3.231 ℓ
Percentage of persimmon juice Left in the dispenser
= 3.231 ÷ 6.3 x 100
= 51.285714285714%
≈ 51.29% (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 - 3069
= 1731 cm
3 1000 cm³ = 1 ℓ
1731 cm
3 = 1.731 ℓ
Answer(s): (a) 51.29%; (b) 1.731 ℓ