A cylindrical dispenser of capacity 5.4 ℓ was filled with pomegranate juice to its brim. The pomegranate juice in the dispenser was then dispensed into a cubical container of sides 15 cm, through a tap flowing at a rate of 125 mℓ /min. After 14 min, the tap was turned off and the container was
45 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
= 125 x 14
= 1750 mℓ
1 ℓ = 1000 mℓ
1.75 ℓ = 1750 mℓ
Volume of pomegranate juice Left in the dispenser
= 5.4 - 1.75
= 3.65 ℓ
Percentage of pomegranate juice Left in the dispenser
= 3.65 ÷ 5.4 x 100
= 67.592592592593%
≈ 67.59% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 45 x 15 x 15 x 15 = 2700 cm
3
Amount of pomegranate juice in the container at first
= 2700 - 1750
= 950 cm
3 1000 cm³ = 1 ℓ
950 cm
3 = 0.95 ℓ
Answer(s): (a) 67.59%; (b) 0.95 ℓ