A cylindrical dispenser of capacity 6.1 ℓ was filled with kiwi juice to its brim. The kiwi juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 126 mℓ /min. After 21 min, the tap was turned off and the container was
25 full.
- What percentage of the kiwi juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of kiwi juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of kiwi juice that was dispensed
= 126 x 21
= 2646 mℓ
1 ℓ = 1000 mℓ
2.646 ℓ = 2646 mℓ
Volume of kiwi juice Left in the dispenser
= 6.1 - 2.646
= 3.454 ℓ
Percentage of kiwi juice Left in the dispenser
= 3.454 ÷ 6.1 x 100
= 56.622950819672%
≈ 56.62% (to 2 decimal places)
(b)
Amount of kiwi juice in the container in the end
= 25 x 20 x 20 x 20 = 3200 cm
3
Amount of kiwi juice in the container at first
= 3200 - 2646
= 554 cm
3 1000 cm³ = 1 ℓ
554 cm
3 = 0.554 ℓ
Answer(s): (a) 56.62%; (b) 0.554 ℓ