In the diagram not drawn to scale, Container W and Container X each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Container W measures 90 cm by 65 cm by 110 cm. Container X measures 15 cm by 70 cm by 70 cm. Container Y is 70 cm by 60 cm by 20 cm. Both holes are located at a height of 20 cm from the top of their respective containers. When Container W is completely filled with water and both buttons are pressed, what will be the final water level in Container Y? Express your answer in mixed number.
Volume of Container W to pour into Container X
= 90 x 65 x 20
= 117000 cm³

Volume of the Container X that can be filled before overflow
= 15 x 70 x (70 - 20)
= 52500 cm³ 

Volume of water in the Container Y
= 117000 - 52500
= 64500 cm³ 

Base Area of the Container Y
= 70 x 60
= 4200 cm² 

Final height of the container Y
= 15¹⁵⁰⁰₄₂₀₀
= 15⁵₁₄ cm

Answer(s): 15⁵₁₄ cm