A pyramid-shaped vat has a square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 8m. If water is flowing into the vat at 1.5 m³/s, how fast (in m/s) is the water level rising when the depth of water (at the deepest point) is 4 m? Hint: the volume of any "conical" shape (including pyramids) is equal to (1/3)(height)(area of base). Note: Round to the nearest tenth.

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