A cylindrical dispenser of capacity 5.4 ℓ was filled with grapefruit juice to its brim. The grapefruit juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 210 mℓ /min. After 19 min, the tap was turned off and the container was
34 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
= 210 x 19
= 3990 mℓ
1 ℓ = 1000 mℓ
3.99 ℓ = 3990 mℓ
Volume of grapefruit juice Left in the dispenser
= 5.4 - 3.99
= 1.41 ℓ
Percentage of grapefruit juice Left in the dispenser
= 1.41 ÷ 5.4 x 100
= 26.111111111111%
≈ 26.11% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of grapefruit juice in the container at first
= 6000 - 3990
= 2010 cm
3 1000 cm³ = 1 ℓ
2010 cm
3 = 2.01 ℓ
Answer(s): (a) 26.11%; (b) 2.01 ℓ