A cylindrical dispenser of capacity 5.9 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 126 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
= 126 x 12
= 1512 mℓ
1 ℓ = 1000 mℓ
1.512 ℓ = 1512 mℓ
Volume of pomegranate juice Left in the dispenser
= 5.9 - 1.512
= 4.388 ℓ
Percentage of pomegranate juice Left in the dispenser
= 4.388 ÷ 5.9 x 100
= 74.372881355932%
≈ 74.37% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 35 x 15 x 15 x 15 = 2025 cm
3
Amount of pomegranate juice in the container at first
= 2025 - 1512
= 513 cm
3 1000 cm³ = 1 ℓ
513 cm
3 = 0.513 ℓ
Answer(s): (a) 74.37%; (b) 0.513 ℓ