A cylindrical dispenser of capacity 5.5 ℓ was filled with mangosteen juice to its brim. The mangosteen juice in the dispenser was then dispensed into a cubical container of sides 20 cm, through a tap flowing at a rate of 198 mℓ /min. After 11 min, the tap was turned off and the container was
35 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
= 198 x 11
= 2178 mℓ
1 ℓ = 1000 mℓ
2.178 ℓ = 2178 mℓ
Volume of mangosteen juice Left in the dispenser
= 5.5 - 2.178
= 3.322 ℓ
Percentage of mangosteen juice Left in the dispenser
= 3.322 ÷ 5.5 x 100
= 60.4%
≈ 60.40% (to 2 decimal places)
(b)
Amount of mangosteen juice in the container in the end
= 35 x 20 x 20 x 20 = 4800 cm
3
Amount of mangosteen juice in the container at first
= 4800 - 2178
= 2622 cm
3 1000 cm³ = 1 ℓ
2622 cm
3 = 2.622 ℓ
Answer(s): (a) 60.40%; (b) 2.622 ℓ