A cylindrical dispenser of capacity 5.3 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 187 mℓ /min. After 10 min, the tap was turned off and the container was
13 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
= 187 x 10
= 1870 mℓ
1 ℓ = 1000 mℓ
1.87 ℓ = 1870 mℓ
Volume of pomegranate juice Left in the dispenser
= 5.3 - 1.87
= 3.43 ℓ
Percentage of pomegranate juice Left in the dispenser
= 3.43 ÷ 5.3 x 100
= 64.716981132075%
≈ 64.72% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 13 x 18 x 18 x 18 = 1944 cm
3
Amount of pomegranate juice in the container at first
= 1944 - 1870
= 74 cm
3 1000 cm³ = 1 ℓ
74 cm
3 = 0.074 ℓ
Answer(s): (a) 64.72%; (b) 0.074 ℓ