A cylindrical dispenser of capacity 6.3 ℓ was filled with grapefruit juice to its brim. The grapefruit juice in the dispenser was then dispensed into a cubical container of sides 15 cm, through a tap flowing at a rate of 111 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
= 111 x 10
= 1110 mℓ
1 ℓ = 1000 mℓ
1.11 ℓ = 1110 mℓ
Volume of grapefruit juice Left in the dispenser
= 6.3 - 1.11
= 5.19 ℓ
Percentage of grapefruit juice Left in the dispenser
= 5.19 ÷ 6.3 x 100
= 82.380952380952%
≈ 82.38% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 23 x 15 x 15 x 15 = 2250 cm
3
Amount of grapefruit juice in the container at first
= 2250 - 1110
= 1140 cm
3 1000 cm³ = 1 ℓ
1140 cm
3 = 1.14 ℓ
Answer(s): (a) 82.38%; (b) 1.14 ℓ