A cylindrical dispenser of capacity 6.1 ℓ was filled with starfruit juice to its brim. The starfruit juice in the dispenser was then dispensed into a cubical container of sides 16 cm, through a tap flowing at a rate of 141 mℓ /min. After 19 min, the tap was turned off and the container was
34 full.
- What percentage of the starfruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of starfruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of starfruit juice that was dispensed
= 141 x 19
= 2679 mℓ
1 ℓ = 1000 mℓ
2.679 ℓ = 2679 mℓ
Volume of starfruit juice Left in the dispenser
= 6.1 - 2.679
= 3.421 ℓ
Percentage of starfruit juice Left in the dispenser
= 3.421 ÷ 6.1 x 100
= 56.081967213115%
≈ 56.08% (to 2 decimal places)
(b)
Amount of starfruit juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of starfruit juice in the container at first
= 3072 - 2679
= 393 cm
3 1000 cm³ = 1 ℓ
393 cm
3 = 0.393 ℓ
Answer(s): (a) 56.08%; (b) 0.393 ℓ