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 20 cm, through a tap flowing at a rate of 383 mℓ /min. After 11 min, the tap was turned off and the container was
45 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
= 383 x 11
= 4213 mℓ
1 ℓ = 1000 mℓ
4.213 ℓ = 4213 mℓ
Volume of starfruit juice Left in the dispenser
= 6.1 - 4.213
= 1.887 ℓ
Percentage of starfruit juice Left in the dispenser
= 1.887 ÷ 6.1 x 100
= 30.934426229508%
≈ 30.93% (to 2 decimal places)
(b)
Amount of starfruit juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of starfruit juice in the container at first
= 6400 - 4213
= 2187 cm
3 1000 cm³ = 1 ℓ
2187 cm
3 = 2.187 ℓ
Answer(s): (a) 30.93%; (b) 2.187 ℓ