A cylindrical dispenser of capacity 5.3 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 161 mℓ /min. After 10 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
= 161 x 10
= 1610 mℓ
1 ℓ = 1000 mℓ
1.61 ℓ = 1610 mℓ
Volume of kiwi juice Left in the dispenser
= 5.3 - 1.61
= 3.69 ℓ
Percentage of kiwi juice Left in the dispenser
= 3.69 ÷ 5.3 x 100
= 69.622641509434%
≈ 69.62% (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 - 1610
= 1590 cm
3 1000 cm³ = 1 ℓ
1590 cm
3 = 1.59 ℓ
Answer(s): (a) 69.62%; (b) 1.59 ℓ