A cylindrical dispenser of capacity 6.2 ℓ was filled with pomegranate juice to its brim. The pomegranate juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 109 mℓ /min. After 12 min, the tap was turned off and the container was
35 full.
- What percentage of the pomegranate juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of pomegranate juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of pomegranate juice that was dispensed
= 109 x 12
= 1308 mℓ
1 ℓ = 1000 mℓ
1.308 ℓ = 1308 mℓ
Volume of pomegranate juice Left in the dispenser
= 6.2 - 1.308
= 4.892 ℓ
Percentage of pomegranate juice Left in the dispenser
= 4.892 ÷ 6.2 x 100
= 78.903225806452%
≈ 78.90% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of pomegranate juice in the container at first
= 4800 - 1308
= 3492 cm
3 1000 cm³ = 1 ℓ
3492 cm
3 = 3.492 ℓ
Answer(s): (a) 78.90%; (b) 3.492 ℓ