A cylindrical dispenser of capacity 5.9 ℓ was filled with peach juice to its brim. The peach juice in the dispenser was then dispensed into a cubical container of sides 15 cm, through a tap flowing at a rate of 152 mℓ /min. After 10 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
= 152 x 10
= 1520 mℓ
1 ℓ = 1000 mℓ
1.52 ℓ = 1520 mℓ
Volume of peach juice Left in the dispenser
= 5.9 - 1.52
= 4.38 ℓ
Percentage of peach juice Left in the dispenser
= 4.38 ÷ 5.9 x 100
= 74.237288135593%
≈ 74.24% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 23 x 15 x 15 x 15 = 2250 cm
3
Amount of peach juice in the container at first
= 2250 - 1520
= 730 cm
3 1000 cm³ = 1 ℓ
730 cm
3 = 0.73 ℓ
Answer(s): (a) 74.24%; (b) 0.73 ℓ