A cylindrical dispenser of capacity 5.3 ℓ was filled with grapefruit juice to its brim. The grapefruit juice in the dispenser was then dispensed into a cubical container of sides 16 cm, through a tap flowing at a rate of 186 mℓ /min. After 16 min, the tap was turned off and the container was
34 full.
- What percentage of the grapefruit juice in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of grapefruit juice were there in the container at first? (1 ℓ = 1000 cm3)
(a)
Volume of grapefruit juice that was dispensed
= 186 x 16
= 2976 mℓ
1 ℓ = 1000 mℓ
2.976 ℓ = 2976 mℓ
Volume of grapefruit juice Left in the dispenser
= 5.3 - 2.976
= 2.324 ℓ
Percentage of grapefruit juice Left in the dispenser
= 2.324 ÷ 5.3 x 100
= 43.849056603774%
≈ 43.85% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 34 x 16 x 16 x 16 = 3072 cm
3
Amount of grapefruit juice in the container at first
= 3072 - 2976
= 96 cm
3 1000 cm³ = 1 ℓ
96 cm
3 = 0.096 ℓ
Answer(s): (a) 43.85%; (b) 0.096 ℓ