A cylindrical dispenser of capacity 6.5 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 136 mℓ /min. After 23 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
= 136 x 23
= 3128 mℓ
1 ℓ = 1000 mℓ
3.128 ℓ = 3128 mℓ
Volume of pomegranate juice Left in the dispenser
= 6.5 - 3.128
= 3.372 ℓ
Percentage of pomegranate juice Left in the dispenser
= 3.372 ÷ 6.5 x 100
= 51.876923076923%
≈ 51.88% (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 - 3128
= 2872 cm
3 1000 cm³ = 1 ℓ
2872 cm
3 = 2.872 ℓ
Answer(s): (a) 51.88%; (b) 2.872 ℓ