A cylindrical dispenser of capacity 5.1 ℓ was filled with grapefruit juice to its brim. The grapefruit juice in the dispenser was then dispensed into a cubical container of sides 16 cm, through a tap flowing at a rate of 125 mℓ /min. After 21 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
= 125 x 21
= 2625 mℓ
1 ℓ = 1000 mℓ
2.625 ℓ = 2625 mℓ
Volume of grapefruit juice Left in the dispenser
= 5.1 - 2.625
= 2.475 ℓ
Percentage of grapefruit juice Left in the dispenser
= 2.475 ÷ 5.1 x 100
= 48.529411764706%
≈ 48.53% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of grapefruit juice in the container at first
= 3072 - 2625
= 447 cm
3 1000 cm³ = 1 ℓ
447 cm
3 = 0.447 ℓ
Answer(s): (a) 48.53%; (b) 0.447 ℓ