A cylindrical dispenser of capacity 6.2 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 191 mℓ /min. After 10 min, the tap was turned off and the container was
14 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
= 191 x 10
= 1910 mℓ
1 ℓ = 1000 mℓ
1.91 ℓ = 1910 mℓ
Volume of mango juice Left in the dispenser
= 6.2 - 1.91
= 4.29 ℓ
Percentage of mango juice Left in the dispenser
= 4.29 ÷ 6.2 x 100
= 69.193548387097%
≈ 69.19% (to 2 decimal places)
(b)
Amount of mango juice in the container in the end
= 14 x 20 x 20 x 20 = 2000 cm
3
Amount of mango juice in the container at first
= 2000 - 1910
= 90 cm
3 1000 cm³ = 1 ℓ
90 cm
3 = 0.09 ℓ
Answer(s): (a) 69.19%; (b) 0.09 ℓ