A cylindrical dispenser of capacity 6.8 ℓ was filled with dragonfruit juice to its brim. The dragonfruit juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 363 mℓ /min. After 10 min, the tap was turned off and the container was
23 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
= 363 x 10
= 3630 mℓ
1 ℓ = 1000 mℓ
3.63 ℓ = 3630 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.8 - 3.63
= 3.17 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 3.17 ÷ 6.8 x 100
= 46.617647058824%
≈ 46.62% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of dragonfruit juice in the container at first
= 3888 - 3630
= 258 cm
3 1000 cm³ = 1 ℓ
258 cm
3 = 0.258 ℓ
Answer(s): (a) 46.62%; (b) 0.258 ℓ