A cylindrical dispenser of capacity 6.2 ℓ was filled with pear juice to its brim. The pear juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 124 mℓ /min. After 10 min, the tap was turned off and the container was
34 full.
- What percentage of the pear juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of pear juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of pear juice that was dispensed
= 124 x 10
= 1240 mℓ
1 ℓ = 1000 mℓ
1.24 ℓ = 1240 mℓ
Volume of pear juice Left in the dispenser
= 6.2 - 1.24
= 4.96 ℓ
Percentage of pear juice Left in the dispenser
= 4.96 ÷ 6.2 x 100
= 80%
≈ 80.00% (to 2 decimal places)
(b)
Amount of pear juice in the container in the end
= 34 x 18 x 18 x 18 = 4374 cm
3
Amount of pear juice in the container at first
= 4374 - 1240
= 3134 cm
3 1000 cm³ = 1 ℓ
3134 cm
3 = 3.134 ℓ
Answer(s): (a) 80.00%; (b) 3.134 ℓ