A cylindrical dispenser of capacity 6.1 ℓ was filled with peach juice to its brim. The peach juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 391 mℓ /min. After 12 min, the tap was turned off and the container was
34 full.
- What percentage of the peach juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of peach juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of peach juice that was dispensed
= 391 x 12
= 4692 mℓ
1 ℓ = 1000 mℓ
4.692 ℓ = 4692 mℓ
Volume of peach juice Left in the dispenser
= 6.1 - 4.692
= 1.408 ℓ
Percentage of peach juice Left in the dispenser
= 1.408 ÷ 6.1 x 100
= 23.081967213115%
≈ 23.08% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of peach juice in the container at first
= 6000 - 4692
= 1308 cm
3 1000 cm³ = 1 ℓ
1308 cm
3 = 1.308 ℓ
Answer(s): (a) 23.08%; (b) 1.308 ℓ