A cylindrical dispenser of capacity 5.5 ℓ was filled with peach juice to its brim. The peach juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 155 mℓ /min. After 22 min, the tap was turned off and the container was
23 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
= 155 x 22
= 3410 mℓ
1 ℓ = 1000 mℓ
3.41 ℓ = 3410 mℓ
Volume of peach juice Left in the dispenser
= 5.5 - 3.41
= 2.09 ℓ
Percentage of peach juice Left in the dispenser
= 2.09 ÷ 5.5 x 100
= 38%
≈ 38.00% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of peach juice in the container at first
= 3888 - 3410
= 478 cm
3 1000 cm³ = 1 ℓ
478 cm
3 = 0.478 ℓ
Answer(s): (a) 38.00%; (b) 0.478 ℓ