A cylindrical dispenser of capacity 6.3 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 442 mℓ /min. After 12 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
= 442 x 12
= 5304 mℓ
1 ℓ = 1000 mℓ
5.304 ℓ = 5304 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.3 - 5.304
= 0.996 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 0.996 ÷ 6.3 x 100
= 15.809523809524%
≈ 15.81% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of dragonfruit juice in the container at first
= 6000 - 5304
= 696 cm
3 1000 cm³ = 1 ℓ
696 cm
3 = 0.696 ℓ
Answer(s): (a) 15.81%; (b) 0.696 ℓ