A cylindrical dispenser of capacity 6.9 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 103 mℓ /min. After 13 min, the tap was turned off and the container was
14 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
= 103 x 13
= 1339 mℓ
1 ℓ = 1000 mℓ
1.339 ℓ = 1339 mℓ
Volume of guava juice Left in the dispenser
= 6.9 - 1.339
= 5.561 ℓ
Percentage of guava juice Left in the dispenser
= 5.561 ÷ 6.9 x 100
= 80.594202898551%
≈ 80.59% (to 2 decimal places)
(b)
Amount of guava juice in the container in the end
= 14 x 18 x 18 x 18 = 1458 cm
3
Amount of guava juice in the container at first
= 1458 - 1339
= 119 cm
3 1000 cm³ = 1 ℓ
119 cm
3 = 0.119 ℓ
Answer(s): (a) 80.59%; (b) 0.119 ℓ