A cylindrical dispenser of capacity 5.5 ℓ was filled with lemon juice to its brim. The lemon juice in the dispenser was then dispensed into a cubical container of sides 15 cm, through a tap flowing at a rate of 236 mℓ /min. After 11 min, the tap was turned off and the container was
45 full.
- What percentage of the lemon juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of lemon juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of lemon juice that was dispensed
= 236 x 11
= 2596 mℓ
1 ℓ = 1000 mℓ
2.596 ℓ = 2596 mℓ
Volume of lemon juice Left in the dispenser
= 5.5 - 2.596
= 2.904 ℓ
Percentage of lemon juice Left in the dispenser
= 2.904 ÷ 5.5 x 100
= 52.8%
≈ 52.80% (to 2 decimal places)
(b)
Amount of lemon juice in the container in the end
= 45 x 15 x 15 x 15 = 2700 cm
3
Amount of lemon juice in the container at first
= 2700 - 2596
= 104 cm
3 1000 cm³ = 1 ℓ
104 cm
3 = 0.104 ℓ
Answer(s): (a) 52.80%; (b) 0.104 ℓ