A cylindrical dispenser of capacity 6.6 ℓ was filled with guava juice to its brim. The guava juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 205 mℓ /min. After 14 min, the tap was turned off and the container was
34 full.
- What percentage of the guava juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of guava juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of guava juice that was dispensed
= 205 x 14
= 2870 mℓ
1 ℓ = 1000 mℓ
2.87 ℓ = 2870 mℓ
Volume of guava juice Left in the dispenser
= 6.6 - 2.87
= 3.73 ℓ
Percentage of guava juice Left in the dispenser
= 3.73 ÷ 6.6 x 100
= 56.515151515152%
≈ 56.52% (to 2 decimal places)
(b)
Amount of guava juice in the container in the end
= 34 x 20 x 20 x 20 = 6000 cm
3
Amount of guava juice in the container at first
= 6000 - 2870
= 3130 cm
3 1000 cm³ = 1 ℓ
3130 cm
3 = 3.13 ℓ
Answer(s): (a) 56.52%; (b) 3.13 ℓ