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 18 cm, through a tap flowing at a rate of 111 mℓ /min. After 11 min, the tap was turned off and the container was
14 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
= 111 x 11
= 1221 mℓ
1 ℓ = 1000 mℓ
1.221 ℓ = 1221 mℓ
Volume of peach juice Left in the dispenser
= 6.5 - 1.221
= 5.279 ℓ
Percentage of peach juice Left in the dispenser
= 5.279 ÷ 6.5 x 100
= 81.215384615385%
≈ 81.22% (to 2 decimal places)
(b)
Amount of peach juice in the container in the end
= 14 x 18 x 18 x 18 = 1458 cm
3
Amount of peach juice in the container at first
= 1458 - 1221
= 237 cm
3 1000 cm³ = 1 ℓ
237 cm
3 = 0.237 ℓ
Answer(s): (a) 81.22%; (b) 0.237 ℓ