A cylindrical dispenser of capacity 5.3 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 116 mℓ /min. After 12 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
= 116 x 12
= 1392 mℓ
1 ℓ = 1000 mℓ
1.392 ℓ = 1392 mℓ
Volume of peach juice Left in the dispenser
= 5.3 - 1.392
= 3.908 ℓ
Percentage of peach juice Left in the dispenser
= 3.908 ÷ 5.3 x 100
= 73.735849056604%
≈ 73.74% (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 - 1392
= 1308 cm
3 1000 cm³ = 1 ℓ
1308 cm
3 = 1.308 ℓ
Answer(s): (a) 73.74%; (b) 1.308 ℓ