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 136 mℓ /min. After 15 min, the tap was turned off and the container was
35 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
= 136 x 15
= 2040 mℓ
1 ℓ = 1000 mℓ
2.04 ℓ = 2040 mℓ
Volume of mango juice Left in the dispenser
= 6.5 - 2.04
= 4.46 ℓ
Percentage of mango juice Left in the dispenser
= 4.46 ÷ 6.5 x 100
= 68.615384615385%
≈ 68.62% (to 2 decimal places)
(b)
Amount of mango juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of mango juice in the container at first
= 4800 - 2040
= 2760 cm
3 1000 cm³ = 1 ℓ
2760 cm
3 = 2.76 ℓ
Answer(s): (a) 68.62%; (b) 2.76 ℓ