A cylindrical dispenser of capacity 5.4 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 208 mℓ /min. After 16 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
= 208 x 16
= 3328 mℓ
1 ℓ = 1000 mℓ
3.328 ℓ = 3328 mℓ
Volume of pomegranate juice Left in the dispenser
= 5.4 - 3.328
= 2.072 ℓ
Percentage of pomegranate juice Left in the dispenser
= 2.072 ÷ 5.4 x 100
= 38.37037037037%
≈ 38.37% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of pomegranate juice in the container at first
= 4800 - 3328
= 1472 cm
3 1000 cm³ = 1 ℓ
1472 cm
3 = 1.472 ℓ
Answer(s): (a) 38.37%; (b) 1.472 ℓ