A cylindrical dispenser of capacity 5.2 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 371 mℓ /min. After 12 min, the tap was turned off and the container was
34 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
= 371 x 12
= 4452 mℓ
1 ℓ = 1000 mℓ
4.452 ℓ = 4452 mℓ
Volume of pomegranate juice Left in the dispenser
= 5.2 - 4.452
= 0.748 ℓ
Percentage of pomegranate juice Left in the dispenser
= 0.748 ÷ 5.2 x 100
= 14.384615384615%
≈ 14.38% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of pomegranate juice in the container at first
= 6000 - 4452
= 1548 cm
3 1000 cm³ = 1 ℓ
1548 cm
3 = 1.548 ℓ
Answer(s): (a) 14.38%; (b) 1.548 ℓ