A cylindrical dispenser of capacity 6.5 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 170 mℓ /min. After 14 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
= 170 x 14
= 2380 mℓ
1 ℓ = 1000 mℓ
2.38 ℓ = 2380 mℓ
Volume of mango juice Left in the dispenser
= 6.5 - 2.38
= 4.12 ℓ
Percentage of mango juice Left in the dispenser
= 4.12 ÷ 6.5 x 100
= 63.384615384615%
≈ 63.38% (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 - 2380
= 4020 cm
3 1000 cm³ = 1 ℓ
4020 cm
3 = 4.02 ℓ
Answer(s): (a) 63.38%; (b) 4.02 ℓ