A cylindrical dispenser of capacity 5.4 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 182 mℓ /min. After 12 min, the tap was turned off and the container was
35 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
= 182 x 12
= 2184 mℓ
1 ℓ = 1000 mℓ
2.184 ℓ = 2184 mℓ
Volume of dragonfruit juice Left in the dispenser
= 5.4 - 2.184
= 3.216 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 3.216 ÷ 5.4 x 100
= 59.555555555556%
≈ 59.56% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of dragonfruit juice in the container at first
= 4800 - 2184
= 2616 cm
3 1000 cm³ = 1 ℓ
2616 cm
3 = 2.616 ℓ
Answer(s): (a) 59.56%; (b) 2.616 ℓ