A cylindrical dispenser of capacity 5.2 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 120 mℓ /min. After 10 min, the tap was turned off and the container was
14 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
= 120 x 10
= 1200 mℓ
1 ℓ = 1000 mℓ
1.2 ℓ = 1200 mℓ
Volume of peach juice Left in the dispenser
= 5.2 - 1.2
= 4 ℓ
Percentage of peach juice Left in the dispenser
= 4 ÷ 5.2 x 100
= 76.923076923077%
≈ 76.92% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 14 x 18 x 18 x 18 = 1458 cm
3
Amount of peach juice in the container at first
= 1458 - 1200
= 258 cm
3 1000 cm³ = 1 ℓ
258 cm
3 = 0.258 ℓ
Answer(s): (a) 76.92%; (b) 0.258 ℓ