A cylindrical dispenser of capacity 5.1 ℓ was filled with guava juice to its brim. The guava juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 134 mℓ /min. After 20 min, the tap was turned off and the container was
23 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
= 134 x 20
= 2680 mℓ
1 ℓ = 1000 mℓ
2.68 ℓ = 2680 mℓ
Volume of guava juice Left in the dispenser
= 5.1 - 2.68
= 2.42 ℓ
Percentage of guava juice Left in the dispenser
= 2.42 ÷ 5.1 x 100
= 47.450980392157%
≈ 47.45% (to 2 decimal places)
(b)
Amount of guava juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of guava juice in the container at first
= 3888 - 2680
= 1208 cm
3 1000 cm³ = 1 ℓ
1208 cm
3 = 1.208 ℓ
Answer(s): (a) 47.45%; (b) 1.208 ℓ