A cylindrical dispenser of capacity 5.3 ℓ was filled with starfruit juice to its brim. The starfruit juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 182 mℓ /min. After 14 min, the tap was turned off and the container was
23 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
= 182 x 14
= 2548 mℓ
1 ℓ = 1000 mℓ
2.548 ℓ = 2548 mℓ
Volume of starfruit juice Left in the dispenser
= 5.3 - 2.548
= 2.752 ℓ
Percentage of starfruit juice Left in the dispenser
= 2.752 ÷ 5.3 x 100
= 51.924528301887%
≈ 51.92% (to 2 decimal places)
(b)
Amount of starfruit juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of starfruit juice in the container at first
= 3888 - 2548
= 1340 cm
3 1000 cm³ = 1 ℓ
1340 cm
3 = 1.34 ℓ
Answer(s): (a) 51.92%; (b) 1.34 ℓ