A cylindrical dispenser of capacity 5.9 ℓ was filled with kiwi juice to its brim. The kiwi juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 124 mℓ /min. After 11 min, the tap was turned off and the container was
14 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
= 124 x 11
= 1364 mℓ
1 ℓ = 1000 mℓ
1.364 ℓ = 1364 mℓ
Volume of kiwi juice Left in the dispenser
= 5.9 - 1.364
= 4.536 ℓ
Percentage of kiwi juice Left in the dispenser
= 4.536 ÷ 5.9 x 100
= 76.881355932203%
≈ 76.88% (to 2 decimal places)
(b)
Amount of kiwi juice in the container in the end
= 14 x 18 x 18 x 18 = 1458 cm
3
Amount of kiwi juice in the container at first
= 1458 - 1364
= 94 cm
3 1000 cm³ = 1 ℓ
94 cm
3 = 0.094 ℓ
Answer(s): (a) 76.88%; (b) 0.094 ℓ