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 18 cm, through a tap flowing at a rate of 152 mℓ /min. After 18 min, the tap was turned off and the container was
23 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
= 152 x 18
= 2736 mℓ
1 ℓ = 1000 mℓ
2.736 ℓ = 2736 mℓ
Volume of grapefruit juice Left in the dispenser
= 5.3 - 2.736
= 2.564 ℓ
Percentage of grapefruit juice Left in the dispenser
= 2.564 ÷ 5.3 x 100
= 48.377358490566%
≈ 48.38% (to 2 decimal places)
(b)
Amount of grapefruit juice in the container in the end
= 23 x 18 x 18 x 18 = 3888 cm
3
Amount of grapefruit juice in the container at first
= 3888 - 2736
= 1152 cm
3 1000 cm³ = 1 ℓ
1152 cm
3 = 1.152 ℓ
Answer(s): (a) 48.38%; (b) 1.152 ℓ