A cylindrical dispenser of capacity 5.3 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 16 cm, through a tap flowing at a rate of 272 mℓ /min. After 11 min, the tap was turned off and the container was
34 full.
- What percentage of the dragonfruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of dragonfruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of dragonfruit juice that was dispensed
= 272 x 11
= 2992 mℓ
1 ℓ = 1000 mℓ
2.992 ℓ = 2992 mℓ
Volume of dragonfruit juice Left in the dispenser
= 5.3 - 2.992
= 2.308 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 2.308 ÷ 5.3 x 100
= 43.547169811321%
≈ 43.55% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of dragonfruit juice in the container at first
= 3072 - 2992
= 80 cm
3 1000 cm³ = 1 ℓ
80 cm
3 = 0.08 ℓ
Answer(s): (a) 43.55%; (b) 0.08 ℓ