A cylindrical dispenser of capacity 6.4 ℓ was filled with peach juice to its brim. The peach juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 334 mℓ /min. After 13 min, the tap was turned off and the container was
34 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
= 334 x 13
= 4342 mℓ
1 ℓ = 1000 mℓ
4.342 ℓ = 4342 mℓ
Volume of peach juice Left in the dispenser
= 6.4 - 4.342
= 2.058 ℓ
Percentage of peach juice Left in the dispenser
= 2.058 ÷ 6.4 x 100
= 32.15625%
≈ 32.16% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 34 x 18 x 18 x 18 = 4374 cm
3
Amount of peach juice in the container at first
= 4374 - 4342
= 32 cm
3 1000 cm³ = 1 ℓ
32 cm
3 = 0.032 ℓ
Answer(s): (a) 32.16%; (b) 0.032 ℓ