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 472 mℓ /min. After 13 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
= 472 x 13
= 6136 mℓ
1 ℓ = 1000 mℓ
6.136 ℓ = 6136 mℓ
Volume of kiwi juice Left in the dispenser
= 5.7 - 6.136
= -0.436 ℓ
Percentage of kiwi juice Left in the dispenser
= -0.436 ÷ 5.7 x 100
= -7.6491228070175%
≈ -7.65% (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 - 6136
= 264 cm
3 1000 cm³ = 1 ℓ
264 cm
3 = 0.264 ℓ
Answer(s): (a) -7.65%; (b) 0.264 ℓ