A cylindrical dispenser of capacity 6.7 ℓ was filled with kiwi juice to its brim. The kiwi juice in the dispenser was then dispensed into a cubical container of sides 16 cm, through a tap flowing at a rate of 177 mℓ /min. After 17 min, the tap was turned off and the container was
34 full.
- What percentage of the kiwi juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of kiwi juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of kiwi juice that was dispensed
= 177 x 17
= 3009 mℓ
1 ℓ = 1000 mℓ
3.009 ℓ = 3009 mℓ
Volume of kiwi juice Left in the dispenser
= 6.7 - 3.009
= 3.691 ℓ
Percentage of kiwi juice Left in the dispenser
= 3.691 ÷ 6.7 x 100
= 55.089552238806%
≈ 55.09% (to 2 decimal places)
(b)
Amount of kiwi juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of kiwi juice in the container at first
= 3072 - 3009
= 63 cm
3 1000 cm³ = 1 ℓ
63 cm
3 = 0.063 ℓ
Answer(s): (a) 55.09%; (b) 0.063 ℓ