A cylindrical dispenser of capacity 5.1 ℓ was filled with persimmon juice to its brim. The persimmon juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 132 mℓ /min. After 16 min, the tap was turned off and the container was
25 full.
- What percentage of the persimmon juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of persimmon juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of persimmon juice that was dispensed
= 132 x 16
= 2112 mℓ
1 ℓ = 1000 mℓ
2.112 ℓ = 2112 mℓ
Volume of persimmon juice Left in the dispenser
= 5.1 - 2.112
= 2.988 ℓ
Percentage of persimmon juice Left in the dispenser
= 2.988 ÷ 5.1 x 100
= 58.588235294118%
≈ 58.59% (to 2 decimal places)
(b)
Amount of persimmon juice in the container in the end
= 25 x 20 x 20 x 20 = 3200 cm
3
Amount of persimmon juice in the container at first
= 3200 - 2112
= 1088 cm
3 1000 cm³ = 1 ℓ
1088 cm
3 = 1.088 ℓ
Answer(s): (a) 58.59%; (b) 1.088 ℓ