A cylindrical dispenser of capacity 6.6 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 107 mℓ /min. After 13 min, the tap was turned off and the container was
13 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
= 107 x 13
= 1391 mℓ
1 ℓ = 1000 mℓ
1.391 ℓ = 1391 mℓ
Volume of dragonfruit juice Left in the dispenser
= 6.6 - 1.391
= 5.209 ℓ
Percentage of dragonfruit juice Left in the dispenser
= 5.209 ÷ 6.6 x 100
= 78.924242424242%
≈ 78.92% (to 2 decimal places)
(b)
Amount of dragonfruit juice in the container in the end
= 13 x 18 x 18 x 18 = 1944 cm
3
Amount of dragonfruit juice in the container at first
= 1944 - 1391
= 553 cm
3 1000 cm³ = 1 ℓ
553 cm
3 = 0.553 ℓ
Answer(s): (a) 78.92%; (b) 0.553 ℓ