A cylindrical dispenser of capacity 5.6 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 319 mℓ /min. After 10 min, the tap was turned off and the container was
45 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
= 319 x 10
= 3190 mℓ
1 ℓ = 1000 mℓ
3.19 ℓ = 3190 mℓ
Volume of kiwi juice Left in the dispenser
= 5.6 - 3.19
= 2.41 ℓ
Percentage of kiwi juice Left in the dispenser
= 2.41 ÷ 5.6 x 100
= 43.035714285714%
≈ 43.04% (to 2 decimal places)
(b)
Amount of kiwi juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of kiwi juice in the container at first
= 6400 - 3190
= 3210 cm
3 1000 cm³ = 1 ℓ
3210 cm
3 = 3.21 ℓ
Answer(s): (a) 43.04%; (b) 3.21 ℓ