A cylindrical dispenser of capacity 6.4 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 186 mℓ /min. After 19 min, the tap was turned off and the container was
34 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
= 186 x 19
= 3534 mℓ
1 ℓ = 1000 mℓ
3.534 ℓ = 3534 mℓ
Volume of mango juice Left in the dispenser
= 6.4 - 3.534
= 2.866 ℓ
Percentage of mango juice Left in the dispenser
= 2.866 ÷ 6.4 x 100
= 44.78125%
≈ 44.78% (to 2 decimal places)
(b)
Amount of mango juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of mango juice in the container at first
= 6000 - 3534
= 2466 cm
3 1000 cm³ = 1 ℓ
2466 cm
3 = 2.466 ℓ
Answer(s): (a) 44.78%; (b) 2.466 ℓ