A cylindrical dispenser of capacity 5.6 ℓ was filled with grapefruit juice to its brim. The grapefruit juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 104 mℓ /min. After 10 min, the tap was turned off and the container was
23 full.
- What percentage of the grapefruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of grapefruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of grapefruit juice that was dispensed
= 104 x 10
= 1040 mℓ
1 ℓ = 1000 mℓ
1.04 ℓ = 1040 mℓ
Volume of grapefruit juice Left in the dispenser
= 5.6 - 1.04
= 4.56 ℓ
Percentage of grapefruit juice Left in the dispenser
= 4.56 ÷ 5.6 x 100
= 81.428571428571%
≈ 81.43% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of grapefruit juice in the container at first
= 3888 - 1040
= 2848 cm
3 1000 cm³ = 1 ℓ
2848 cm
3 = 2.848 ℓ
Answer(s): (a) 81.43%; (b) 2.848 ℓ