This figure is not drawn to scale. A rectangular glass tank 75 cm by 59 cm by 40 cm has 2 compartments, N and P, with a water height of 35 cm in N and 11 cm in P. A hole in the slider caused water to leak from N to P. 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 1¹₄ 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 N to P in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment N
= 14 x 35 x 59
= 28910 cm³ 

Length of Compartment P
= 75 - 14
= 61 cm

Volume of the water in Compartment P
= 61 x 59 x 11
= 39589 cm³ 

Total volume of water
= 28910 + 39589
= 68499 cm³ 

Base area of the glass tank
= 75 x 59
= 4425 cm² 

Height of water
= 68499 ÷ 4425
= 15.48 cm

(b)
1¹₄ h = 75 min

Drop in the height of Compartment N
= 35 - 15.48
= 19.52 cm

Drop in the volume of Compartment N
= 59 x 14 x 19.52
= 16123.52 cm³ 

Volume of water flowed from N to P in 1 minute
= 16123.52 ÷ 75
≈ 215 cm³

Answer(s): (a) 15.48 cm; (b) 215 cm³