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 16 cm, through a tap flowing at a rate of 149 mℓ /min. After 16 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
= 149 x 16
= 2384 mℓ
1 ℓ = 1000 mℓ
2.384 ℓ = 2384 mℓ
Volume of guava juice Left in the dispenser
= 5.1 - 2.384
= 2.716 ℓ
Percentage of guava juice Left in the dispenser
= 2.716 ÷ 5.1 x 100
= 53.254901960784%
≈ 53.25% (to 2 decimal places)
(b)
Amount of guava juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of guava juice in the container at first
= 3072 - 2384
= 688 cm
3 1000 cm³ = 1 ℓ
688 cm
3 = 0.688 ℓ
Answer(s): (a) 53.25%; (b) 0.688 ℓ