A cylindrical dispenser of capacity 6.6 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 411 mℓ /min. After 13 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
= 411 x 13
= 5343 mℓ
1 ℓ = 1000 mℓ
5.343 ℓ = 5343 mℓ
Volume of mango juice Left in the dispenser
= 6.6 - 5.343
= 1.257 ℓ
Percentage of mango juice Left in the dispenser
= 1.257 ÷ 6.6 x 100
= 19.045454545455%
≈ 19.05% (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 - 5343
= 1057 cm
3 1000 cm³ = 1 ℓ
1057 cm
3 = 1.057 ℓ
Answer(s): (a) 19.05%; (b) 1.057 ℓ