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 20 cm, through a tap flowing at a rate of 121 mℓ /min. After 10 min, the tap was turned off and the container was
14 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
= 121 x 10
= 1210 mℓ
1 ℓ = 1000 mℓ
1.21 ℓ = 1210 mℓ
Volume of lemon juice Left in the dispenser
= 5.5 - 1.21
= 4.29 ℓ
Percentage of lemon juice Left in the dispenser
= 4.29 ÷ 5.5 x 100
= 78%
≈ 78.00% (to 2 decimal places)
(b)
Amount of lemon juice in the container in the end
= 14 x 20 x 20 x 20 = 2000 cm
3
Amount of lemon juice in the container at first
= 2000 - 1210
= 790 cm
3 1000 cm³ = 1 ℓ
790 cm
3 = 0.79 ℓ
Answer(s): (a) 78.00%; (b) 0.79 ℓ