A cylindrical dispenser of capacity 6.9 ℓ was filled with pomegranate juice to its brim. The pomegranate 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 11 min, the tap was turned off and the container was
23 full.
- What percentage of the pomegranate juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of pomegranate juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of pomegranate juice that was dispensed
= 210 x 11
= 2310 mℓ
1 ℓ = 1000 mℓ
2.31 ℓ = 2310 mℓ
Volume of pomegranate juice Left in the dispenser
= 6.9 - 2.31
= 4.59 ℓ
Percentage of pomegranate juice Left in the dispenser
= 4.59 ÷ 6.9 x 100
= 66.521739130435%
≈ 66.52% (to 2 decimal places)
(b)
Amount of pomegranate juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of pomegranate juice in the container at first
= 3888 - 2310
= 1578 cm
3 1000 cm³ = 1 ℓ
1578 cm
3 = 1.578 ℓ
Answer(s): (a) 66.52%; (b) 1.578 ℓ