A cylindrical dispenser of capacity 5.9 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 106 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
= 106 x 21
= 2226 mℓ
1 ℓ = 1000 mℓ
2.226 ℓ = 2226 mℓ
Volume of lemon juice Left in the dispenser
= 5.9 - 2.226
= 3.674 ℓ
Percentage of lemon juice Left in the dispenser
= 3.674 ÷ 5.9 x 100
= 62.271186440678%
≈ 62.27% (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 - 2226
= 3774 cm
3 1000 cm³ = 1 ℓ
3774 cm
3 = 3.774 ℓ
Answer(s): (a) 62.27%; (b) 3.774 ℓ