A cylindrical dispenser of capacity 6.4 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 109 mℓ /min. After 10 min, the tap was turned off and the container was
13 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
= 109 x 10
= 1090 mℓ
1 ℓ = 1000 mℓ
1.09 ℓ = 1090 mℓ
Volume of grapefruit juice Left in the dispenser
= 6.4 - 1.09
= 5.31 ℓ
Percentage of grapefruit juice Left in the dispenser
= 5.31 ÷ 6.4 x 100
= 82.96875%
≈ 82.97% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 13 x 18 x 18 x 18 = 1944 cm
3
Amount of grapefruit juice in the container at first
= 1944 - 1090
= 854 cm
3 1000 cm³ = 1 ℓ
854 cm
3 = 0.854 ℓ
Answer(s): (a) 82.97%; (b) 0.854 ℓ