A cylindrical dispenser of capacity 6.4 ℓ was filled with lemon juice to its brim. The lemon juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 265 mℓ /min. After 14 min, the tap was turned off and the container was
23 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
= 265 x 14
= 3710 mℓ
1 ℓ = 1000 mℓ
3.71 ℓ = 3710 mℓ
Volume of lemon juice Left in the dispenser
= 6.4 - 3.71
= 2.69 ℓ
Percentage of lemon juice Left in the dispenser
= 2.69 ÷ 6.4 x 100
= 42.03125%
≈ 42.03% (to 2 decimal places)
(b)
Amount of lemon juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of lemon juice in the container at first
= 3888 - 3710
= 178 cm
3 1000 cm³ = 1 ℓ
178 cm
3 = 0.178 ℓ
Answer(s): (a) 42.03%; (b) 0.178 ℓ