A cylindrical dispenser of capacity 5.7 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 238 mℓ /min. After 14 min, the tap was turned off and the container was
35 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
= 238 x 14
= 3332 mℓ
1 ℓ = 1000 mℓ
3.332 ℓ = 3332 mℓ
Volume of kiwi juice Left in the dispenser
= 5.7 - 3.332
= 2.368 ℓ
Percentage of kiwi juice Left in the dispenser
= 2.368 ÷ 5.7 x 100
= 41.543859649123%
≈ 41.54% (to 2 decimal places)
(b)
Amount of kiwi juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of kiwi juice in the container at first
= 4800 - 3332
= 1468 cm
3 1000 cm³ = 1 ℓ
1468 cm
3 = 1.468 ℓ
Answer(s): (a) 41.54%; (b) 1.468 ℓ