Apyramid-shaped vat has square cross-section and stands on its tip. the dimensions at the top are 2 m × 2 m, and the depth is 5 m. if water is flowing into the vat at 3 m3 /min, how fast is the water level rising when the depth of water (at the deepest point) is 4 m? note: the volume of any "conical" shape (including pyramids) is (1/3)(height)(area of base).