Water flows into a tank at the rate of 30 ℓ per minute. After 11 min, the tap is turned off and the tank is 0.6 filled with water.
- How much more water is needed to fill it to the brim?
- The water in the tank is then poured into containers each 1.9 m long, 0.1 m wide and 11 cm high. What is the minimum number of containers needed?
(a)
0.6 =
35 Let 5 u be the total volume of water when the tank is completely filled.
Volume of water in the tank
= 30 x 11
= 330 ℓ
3 u = 330
1 u = 330 ÷ 3 = 110
Volume of water to fill the tank to the brim
= 5 u - 3 u
= 2 u
= 2 x 110
= 220 ℓ
(b)
1 m = 100 cm
1.9 m = 190 cm
0.1 m = 10 cm
Volume of each container
= 190 x 10 x 11
= 20900 cm
3 Volume of water in the tank = 330 ℓ
1 ℓ = 1000 mℓ
330 ℓ = 330000 mℓ
Number of containers needed
= 330000 ÷ 20900
= 15 r 16500
Minimum number of containers needed
= 15 + 1
= 16
Answer(s): (a) 220 ℓ; (b) 16