A cylindrical dispenser of capacity 6.8 ℓ was filled with mango juice to its brim. The mango juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 107 mℓ /min. After 24 min, the tap was turned off and the container was
45 full.
- What percentage of the mango juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of mango juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of mango juice that was dispensed
= 107 x 24
= 2568 mℓ
1 ℓ = 1000 mℓ
2.568 ℓ = 2568 mℓ
Volume of mango juice Left in the dispenser
= 6.8 - 2.568
= 4.232 ℓ
Percentage of mango juice Left in the dispenser
= 4.232 ÷ 6.8 x 100
= 62.235294117647%
≈ 62.24% (to 2 decimal places)
(b)
Amount of mango juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of mango juice in the container at first
= 6400 - 2568
= 3832 cm
3 1000 cm³ = 1 ℓ
3832 cm
3 = 3.832 ℓ
Answer(s): (a) 62.24%; (b) 3.832 ℓ