A cylindrical dispenser of capacity 6.1 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 201 mℓ /min. After 15 min, the tap was turned off and the container was
34 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
= 201 x 15
= 3015 mℓ
1 ℓ = 1000 mℓ
3.015 ℓ = 3015 mℓ
Volume of persimmon juice Left in the dispenser
= 6.1 - 3.015
= 3.085 ℓ
Percentage of persimmon juice Left in the dispenser
= 3.085 ÷ 6.1 x 100
= 50.573770491803%
≈ 50.57% (to 2 decimal places)
(b)
Amount of persimmon juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of persimmon juice in the container at first
= 6000 - 3015
= 2985 cm
3 1000 cm³ = 1 ℓ
2985 cm
3 = 2.985 ℓ
Answer(s): (a) 50.57%; (b) 2.985 ℓ