This figure is not drawn to scale. A rectangular glass tank 80 cm by 58 cm by 41 cm has 2 compartments, E and F, with a water height of 32 cm in E and 20 cm in F. A hole in the slider caused water to leak from E to F. It was found that the water level in both compartments became the same after some time.

1. What is the height of water in the tank now?
2. It took 1¹₅ h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from E to F in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment E
= 37 x 32 x 58
= 68672 cm³ 

Length of Compartment F
= 80 - 37
= 43 cm

Volume of the water in Compartment F
= 43 x 58 x 20
= 49880 cm³ 

Total volume of water
= 68672 + 49880
= 118552 cm³ 

Base area of the glass tank
= 80 x 58
= 4640 cm² 

Height of water
= 118552 ÷ 4640
= 25.55 cm

(b)
1¹₅ h = 72 min

Drop in the height of Compartment E
= 32 - 25.55
= 6.45 cm

Drop in the volume of Compartment E
= 58 x 37 x 6.45
= 13841.7 cm³ 

Volume of water flowed from E to F in 1 minute
= 13841.7 ÷ 72
≈ 192.2 cm³

Answer(s): (a) 25.55 cm; (b) 192.2 cm³