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 18 cm, through a tap flowing at a rate of 109 mℓ /min. After 24 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
= 109 x 24
= 2616 mℓ
1 ℓ = 1000 mℓ
2.616 ℓ = 2616 mℓ
Volume of pomegranate juice Left in the dispenser
= 5.2 - 2.616
= 2.584 ℓ
Percentage of pomegranate juice Left in the dispenser
= 2.584 ÷ 5.2 x 100
= 49.692307692308%
≈ 49.69% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 34 x 18 x 18 x 18 = 4374 cm
3
Amount of pomegranate juice in the container at first
= 4374 - 2616
= 1758 cm
3 1000 cm³ = 1 ℓ
1758 cm
3 = 1.758 ℓ
Answer(s): (a) 49.69%; (b) 1.758 ℓ