A cylindrical dispenser of capacity 5.7 ℓ was filled with starfruit juice to its brim. The starfruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 110 mℓ /min. After 13 min, the tap was turned off and the container was
15 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
= 110 x 13
= 1430 mℓ
1 ℓ = 1000 mℓ
1.43 ℓ = 1430 mℓ
Volume of starfruit juice Left in the dispenser
= 5.7 - 1.43
= 4.27 ℓ
Percentage of starfruit juice Left in the dispenser
= 4.27 ÷ 5.7 x 100
= 74.912280701754%
≈ 74.91% (to 2 decimal places)
(b)
Amount of starfruit juice in the container in the end
= 15 x 20 x 20 x 20 = 1600 cm
3
Amount of starfruit juice in the container at first
= 1600 - 1430
= 170 cm
3 1000 cm³ = 1 ℓ
170 cm
3 = 0.17 ℓ
Answer(s): (a) 74.91%; (b) 0.17 ℓ