A cylindrical dispenser of capacity 6.8 ℓ was filled with starfruit juice to its brim. The starfruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 157 mℓ /min. After 10 min, the tap was turned off and the container was
14 full.
- What percentage of the starfruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of starfruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of starfruit juice that was dispensed
= 157 x 10
= 1570 mℓ
1 ℓ = 1000 mℓ
1.57 ℓ = 1570 mℓ
Volume of starfruit juice Left in the dispenser
= 6.8 - 1.57
= 5.23 ℓ
Percentage of starfruit juice Left in the dispenser
= 5.23 ÷ 6.8 x 100
= 76.911764705882%
≈ 76.91% (to 2 decimal places)
(b)
Amount of starfruit juice in the container in the end
= 14 x 20 x 20 x 20 = 2000 cm
3
Amount of starfruit juice in the container at first
= 2000 - 1570
= 430 cm
3 1000 cm³ = 1 ℓ
430 cm
3 = 0.43 ℓ
Answer(s): (a) 76.91%; (b) 0.43 ℓ