A cylindrical dispenser of capacity 6.9 ℓ was filled with passion fruit juice to its brim. The passion fruit juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 225 mℓ /min. After 11 min, the tap was turned off and the container was
23 full.
- What percentage of the passion fruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of passion fruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of passion fruit juice that was dispensed
= 225 x 11
= 2475 mℓ
1 ℓ = 1000 mℓ
2.475 ℓ = 2475 mℓ
Volume of passion fruit juice Left in the dispenser
= 6.9 - 2.475
= 4.425 ℓ
Percentage of passion fruit juice Left in the dispenser
= 4.425 ÷ 6.9 x 100
= 64.130434782609%
≈ 64.13% (to 2 decimal places)
(b)
Amount of passion fruit juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of passion fruit juice in the container at first
= 3888 - 2475
= 1413 cm
3 1000 cm³ = 1 ℓ
1413 cm
3 = 1.413 ℓ
Answer(s): (a) 64.13%; (b) 1.413 ℓ