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 176 mℓ /min. After 18 min, the tap was turned off and the container was
45 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
= 176 x 18
= 3168 mℓ
1 ℓ = 1000 mℓ
3.168 ℓ = 3168 mℓ
Volume of grapefruit juice Left in the dispenser
= 5.4 - 3.168
= 2.232 ℓ
Percentage of grapefruit juice Left in the dispenser
= 2.232 ÷ 5.4 x 100
= 41.333333333333%
≈ 41.33% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 45 x 20 x 20 x 20 = 6400 cm
3
Amount of grapefruit juice in the container at first
= 6400 - 3168
= 3232 cm
3 1000 cm³ = 1 ℓ
3232 cm
3 = 3.232 ℓ
Answer(s): (a) 41.33%; (b) 3.232 ℓ