A cylindrical dispenser of capacity 6.3 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 144 mℓ /min. After 13 min, the tap was turned off and the container was
45 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
= 144 x 13
= 1872 mℓ
1 ℓ = 1000 mℓ
1.872 ℓ = 1872 mℓ
Volume of peach juice Left in the dispenser
= 6.3 - 1.872
= 4.428 ℓ
Percentage of peach juice Left in the dispenser
= 4.428 ÷ 6.3 x 100
= 70.285714285714%
≈ 70.29% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 45 x 15 x 15 x 15 = 2700 cm
3
Amount of peach juice in the container at first
= 2700 - 1872
= 828 cm
3 1000 cm³ = 1 ℓ
828 cm
3 = 0.828 ℓ
Answer(s): (a) 70.29%; (b) 0.828 ℓ