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 217 mℓ /min. After 21 min, the tap was turned off and the container was
34 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
= 217 x 21
= 4557 mℓ
1 ℓ = 1000 mℓ
4.557 ℓ = 4557 mℓ
Volume of lemon juice Left in the dispenser
= 5.5 - 4.557
= 0.943 ℓ
Percentage of lemon juice Left in the dispenser
= 0.943 ÷ 5.5 x 100
= 17.145454545455%
≈ 17.15% (to 2 decimal places)
(b)
Amount of lemon juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of lemon juice in the container at first
= 6000 - 4557
= 1443 cm
3 1000 cm³ = 1 ℓ
1443 cm
3 = 1.443 ℓ
Answer(s): (a) 17.15%; (b) 1.443 ℓ