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 20 cm, through a tap flowing at a rate of 178 mℓ /min. After 12 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
= 178 x 12
= 2136 mℓ
1 ℓ = 1000 mℓ
2.136 ℓ = 2136 mℓ
Volume of starfruit juice Left in the dispenser
= 5.3 - 2.136
= 3.164 ℓ
Percentage of starfruit juice Left in the dispenser
= 3.164 ÷ 5.3 x 100
= 59.698113207547%
≈ 59.70% (to 2 decimal places)
(b)
Amount of starfruit juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of starfruit juice in the container at first
= 6000 - 2136
= 3864 cm
3 1000 cm³ = 1 ℓ
3864 cm
3 = 3.864 ℓ
Answer(s): (a) 59.70%; (b) 3.864 ℓ