A cylindrical dispenser of capacity 6.3 ℓ was filled with mangosteen juice to its brim. The mangosteen juice in the dispenser was then dispensed into a cubical container of sides 16 cm, through a tap flowing at a rate of 112 mℓ /min. After 17 min, the tap was turned off and the container was
34 full.
- What percentage of the mangosteen juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of mangosteen juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of mangosteen juice that was dispensed
= 112 x 17
= 1904 mℓ
1 ℓ = 1000 mℓ
1.904 ℓ = 1904 mℓ
Volume of mangosteen juice Left in the dispenser
= 6.3 - 1.904
= 4.396 ℓ
Percentage of mangosteen juice Left in the dispenser
= 4.396 ÷ 6.3 x 100
= 69.777777777778%
≈ 69.78% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of mangosteen juice in the container at first
= 3072 - 1904
= 1168 cm
3 1000 cm³ = 1 ℓ
1168 cm
3 = 1.168 ℓ
Answer(s): (a) 69.78%; (b) 1.168 ℓ