A cylindrical dispenser of capacity 6.2 ℓ was filled with chikoo juice to its brim. The chikoo juice in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 146 mℓ /min. After 23 min, the tap was turned off and the container was
34 full.
- What percentage of the chikoo juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of chikoo juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of chikoo juice that was dispensed
= 146 x 23
= 3358 mℓ
1 ℓ = 1000 mℓ
3.358 ℓ = 3358 mℓ
Volume of chikoo juice Left in the dispenser
= 6.2 - 3.358
= 2.842 ℓ
Percentage of chikoo juice Left in the dispenser
= 2.842 ÷ 6.2 x 100
= 45.838709677419%
≈ 45.84% (to 2 decimal places)
(b)
Amount of chikoo juice in the container in the end
= 34 x 18 x 18 x 18 = 4374 cm
3
Amount of chikoo juice in the container at first
= 4374 - 3358
= 1016 cm
3 1000 cm³ = 1 ℓ
1016 cm
3 = 1.016 ℓ
Answer(s): (a) 45.84%; (b) 1.016 ℓ