A cylindrical dispenser of capacity 6.5 ℓ was filled with peach juice to its brim. The peach juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 355 mℓ /min. After 10 min, the tap was turned off and the container was
35 full.
- What percentage of the peach juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of peach juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of peach juice that was dispensed
= 355 x 10
= 3550 mℓ
1 ℓ = 1000 mℓ
3.55 ℓ = 3550 mℓ
Volume of peach juice Left in the dispenser
= 6.5 - 3.55
= 2.95 ℓ
Percentage of peach juice Left in the dispenser
= 2.95 ÷ 6.5 x 100
= 45.384615384615%
≈ 45.38% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of peach juice in the container at first
= 4800 - 3550
= 1250 cm
3 1000 cm³ = 1 ℓ
1250 cm
3 = 1.25 ℓ
Answer(s): (a) 45.38%; (b) 1.25 ℓ