A cylindrical dispenser of capacity 6.7 ℓ was filled with persimmon juice to its brim. The persimmon juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 210 mℓ /min. After 16 min, the tap was turned off and the container was
23 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
= 210 x 16
= 3360 mℓ
1 ℓ = 1000 mℓ
3.36 ℓ = 3360 mℓ
Volume of persimmon juice Left in the dispenser
= 6.7 - 3.36
= 3.34 ℓ
Percentage of persimmon juice Left in the dispenser
= 3.34 ÷ 6.7 x 100
= 49.850746268657%
≈ 49.85% (to 2 decimal places)
(b)
Amount of persimmon juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of persimmon juice in the container at first
= 3888 - 3360
= 528 cm
3 1000 cm³ = 1 ℓ
528 cm
3 = 0.528 ℓ
Answer(s): (a) 49.85%; (b) 0.528 ℓ