On souhaite mesurer le volume d'un objet. Pour cela, on l'immerge dans un liquide dans une éprouvette
graduée.
{"init": {"range": [[-5.0, 5.0], [-12.0, 11.0]], "scale": [20, 20]}, "path": [[[[-3.0, -10.0], [-3.0, -0.16000000000000014], [3.0, -0.16000000000000014], [3.0, -10.0], [-3.0, -10.0]], {"stroke": "none", "fill": "#81c3ff", "fill-opacity": "0.7"}]], "arc": [[[0.0, 4.84], [6.0, 6.0], 225.0, 315.0, true, {"stroke": "", "fill": "white"}]], "line": [[[-3.0, -10.0], [-3.0, 10.0], {"subtype": "segment"}], [[3.0, 10.0], [4.0, 9.0], {"subtype": "segment"}], [[3.0, -10.0], [3.0, 10.0], {"subtype": "segment"}], [[-4.0, -10.0], [4.0, -10.0], {"subtype": "segment"}], [[2.0, -8.3], [3.0, -8.3], {"subtype": "segment"}], [[2.0, -6.6], [3.0, -6.6], {"subtype": "segment"}], [[2.0, -4.9], [3.0, -4.9], {"subtype": "segment"}], [[2.0, -3.2], [3.0, -3.2], {"subtype": "segment"}], [[2.0, -1.5], [3.0, -1.5], {"subtype": "segment"}], [[2.0, 0.1999999999999993], [3.0, 0.1999999999999993], {"subtype": "segment"}], [[2.0, 1.9000000000000004], [3.0, 1.9000000000000004], {"subtype": "segment"}], [[2.0, 3.5999999999999996], [3.0, 3.5999999999999996], {"subtype": "segment"}], [[2.0, 5.300000000000001], [3.0, 5.300000000000001], {"subtype": "segment"}], [[2.0, 7.0], [3.0, 7.0], {"subtype": "segment"}], [[2.5, -9.66], [3.0, -9.66], {"subtype": "segment"}], [[2.5, -9.32], [3.0, -9.32], {"subtype": "segment"}], [[2.5, -8.98], [3.0, -8.98], {"subtype": "segment"}], [[2.5, -8.64], [3.0, -8.64], {"subtype": "segment"}], [[2.5, -7.96], [3.0, -7.96], {"subtype": "segment"}], [[2.5, -7.62], [3.0, -7.62], {"subtype": "segment"}], [[2.5, -7.279999999999999], [3.0, -7.279999999999999], {"subtype": "segment"}], [[2.5, -6.9399999999999995], [3.0, -6.9399999999999995], {"subtype": "segment"}], [[2.5, -6.26], [3.0, -6.26], {"subtype": "segment"}], [[2.5, -5.92], [3.0, -5.92], {"subtype": "segment"}], [[2.5, -5.58], [3.0, -5.58], {"subtype": "segment"}], [[2.5, -5.24], [3.0, -5.24], {"subtype": "segment"}], [[2.5, -4.56], [3.0, -4.56], {"subtype": "segment"}], [[2.5, -4.22], [3.0, -4.22], {"subtype": "segment"}], [[2.5, -3.88], [3.0, -3.88], {"subtype": "segment"}], [[2.5, -3.54], [3.0, -3.54], {"subtype": "segment"}], [[2.5, -2.8600000000000003], [3.0, -2.8600000000000003], {"subtype": "segment"}], [[2.5, -2.5199999999999996], [3.0, -2.5199999999999996], {"subtype": "segment"}], [[2.5, -2.1799999999999997], [3.0, -2.1799999999999997], {"subtype": "segment"}], [[2.5, -1.8399999999999999], [3.0, -1.8399999999999999], {"subtype": "segment"}], [[2.5, -1.1600000000000001], [3.0, -1.1600000000000001], {"subtype": "segment"}], [[2.5, -0.8200000000000003], [3.0, -0.8200000000000003], {"subtype": "segment"}], [[2.5, -0.4800000000000004], [3.0, -0.4800000000000004], {"subtype": "segment"}], [[2.5, -0.14000000000000057], [3.0, -0.14000000000000057], {"subtype": "segment"}], [[2.5, 0.5399999999999991], [3.0, 0.5399999999999991], {"subtype": "segment"}], [[2.5, 0.8800000000000008], [3.0, 0.8800000000000008], {"subtype": "segment"}], [[2.5, 1.2200000000000006], [3.0, 1.2200000000000006], {"subtype": "segment"}], [[2.5, 1.5600000000000005], [3.0, 1.5600000000000005], {"subtype": "segment"}], [[2.5, 2.24], [3.0, 2.24], {"subtype": "segment"}], [[2.5, 2.58], [3.0, 2.58], {"subtype": "segment"}], [[2.5, 2.92], [3.0, 2.92], {"subtype": "segment"}], [[2.5, 3.26], [3.0, 3.26], {"subtype": "segment"}], [[2.5, 3.9399999999999995], [3.0, 3.9399999999999995], {"subtype": "segment"}], [[2.5, 4.279999999999999], [3.0, 4.279999999999999], {"subtype": "segment"}], [[2.5, 4.619999999999999], [3.0, 4.619999999999999], {"subtype": "segment"}], [[2.5, 4.960000000000001], [3.0, 4.960000000000001], {"subtype": "segment"}], [[2.5, 5.640000000000001], [3.0, 5.640000000000001], {"subtype": "segment"}], [[2.5, 5.98], [3.0, 5.98], {"subtype": "segment"}], [[2.5, 6.32], [3.0, 6.32], {"subtype": "segment"}], [[2.5, 6.66], [3.0, 6.66], {"subtype": "segment"}]], "label": [[[0.0, -8.3], "10\\:mL", "center", {}], [[0.0, -6.6], "20\\:mL", "center", {}], [[0.0, -4.9], "30\\:mL", "center", {}], [[0.0, -3.2], "40\\:mL", "center", {}], [[0.0, -1.5], "50\\:mL", "center", {}], [[0.0, 0.1999999999999993], "60\\:mL", "center", {}], [[0.0, 1.9000000000000004], "70\\:mL", "center", {}], [[0.0, 3.5999999999999996], "80\\:mL", "center", {}], [[0.0, 5.300000000000001], "90\\:mL", "center", {}], [[0.0, 7.0], "100\\:mL", "center", {}], [[0.0, 9.5], "100\\:mL", "center", {"color": "red"}]]}
Éprouvette graduée et volume initial
{"init": {"range": [[-5.0, 5.0], [-12.0, 11.0]], "scale": [20, 20]}, "path": [[[[-3.0, -10.0], [-3.0, 2.2200000000000006], [3.0, 2.2200000000000006], [3.0, -10.0], [-3.0, -10.0]], {"stroke": "none", "fill": "#81c3ff", "fill-opacity": "0.7"}], [[[-0.5, -10.0], [0.5, -8.6], [1.5, -8.6], [0.5, -10.0], [-0.5, -10.0]], {"fill": "black", "opacity": "0.5"}]], "arc": [[[0.0, 7.220000000000001], [6.0, 6.0], 225.0, 315.0, true, {"stroke": "", "fill": "white"}]], "line": [[[-3.0, -10.0], [-3.0, 10.0], {"subtype": "segment"}], [[3.0, 10.0], [4.0, 9.0], {"subtype": "segment"}], [[3.0, -10.0], [3.0, 10.0], {"subtype": "segment"}], [[-4.0, -10.0], [4.0, -10.0], {"subtype": "segment"}], [[2.0, -8.3], [3.0, -8.3], {"subtype": "segment"}], [[2.0, -6.6], [3.0, -6.6], {"subtype": "segment"}], [[2.0, -4.9], [3.0, -4.9], {"subtype": "segment"}], [[2.0, -3.2], [3.0, -3.2], {"subtype": "segment"}], [[2.0, -1.5], [3.0, -1.5], {"subtype": "segment"}], [[2.0, 0.1999999999999993], [3.0, 0.1999999999999993], {"subtype": "segment"}], [[2.0, 1.9000000000000004], [3.0, 1.9000000000000004], {"subtype": "segment"}], [[2.0, 3.5999999999999996], [3.0, 3.5999999999999996], {"subtype": "segment"}], [[2.0, 5.300000000000001], [3.0, 5.300000000000001], {"subtype": "segment"}], [[2.0, 7.0], [3.0, 7.0], {"subtype": "segment"}], [[2.5, -9.66], [3.0, -9.66], {"subtype": "segment"}], [[2.5, -9.32], [3.0, -9.32], {"subtype": "segment"}], [[2.5, -8.98], [3.0, -8.98], {"subtype": "segment"}], [[2.5, -8.64], [3.0, -8.64], {"subtype": "segment"}], [[2.5, -7.96], [3.0, -7.96], {"subtype": "segment"}], [[2.5, -7.62], [3.0, -7.62], {"subtype": "segment"}], [[2.5, -7.279999999999999], [3.0, -7.279999999999999], {"subtype": "segment"}], [[2.5, -6.9399999999999995], [3.0, -6.9399999999999995], {"subtype": "segment"}], [[2.5, -6.26], [3.0, -6.26], {"subtype": "segment"}], [[2.5, -5.92], [3.0, -5.92], {"subtype": "segment"}], [[2.5, -5.58], [3.0, -5.58], {"subtype": "segment"}], [[2.5, -5.24], [3.0, -5.24], {"subtype": "segment"}], [[2.5, -4.56], [3.0, -4.56], {"subtype": "segment"}], [[2.5, -4.22], [3.0, -4.22], {"subtype": "segment"}], [[2.5, -3.88], [3.0, -3.88], {"subtype": "segment"}], [[2.5, -3.54], [3.0, -3.54], {"subtype": "segment"}], [[2.5, -2.8600000000000003], [3.0, -2.8600000000000003], {"subtype": "segment"}], [[2.5, -2.5199999999999996], [3.0, -2.5199999999999996], {"subtype": "segment"}], [[2.5, -2.1799999999999997], [3.0, -2.1799999999999997], {"subtype": "segment"}], [[2.5, -1.8399999999999999], [3.0, -1.8399999999999999], {"subtype": "segment"}], [[2.5, -1.1600000000000001], [3.0, -1.1600000000000001], {"subtype": "segment"}], [[2.5, -0.8200000000000003], [3.0, -0.8200000000000003], {"subtype": "segment"}], [[2.5, -0.4800000000000004], [3.0, -0.4800000000000004], {"subtype": "segment"}], [[2.5, -0.14000000000000057], [3.0, -0.14000000000000057], {"subtype": "segment"}], [[2.5, 0.5399999999999991], [3.0, 0.5399999999999991], {"subtype": "segment"}], [[2.5, 0.8800000000000008], [3.0, 0.8800000000000008], {"subtype": "segment"}], [[2.5, 1.2200000000000006], [3.0, 1.2200000000000006], {"subtype": "segment"}], [[2.5, 1.5600000000000005], [3.0, 1.5600000000000005], {"subtype": "segment"}], [[2.5, 2.24], [3.0, 2.24], {"subtype": "segment"}], [[2.5, 2.58], [3.0, 2.58], {"subtype": "segment"}], [[2.5, 2.92], [3.0, 2.92], {"subtype": "segment"}], [[2.5, 3.26], [3.0, 3.26], {"subtype": "segment"}], [[2.5, 3.9399999999999995], [3.0, 3.9399999999999995], {"subtype": "segment"}], [[2.5, 4.279999999999999], [3.0, 4.279999999999999], {"subtype": "segment"}], [[2.5, 4.619999999999999], [3.0, 4.619999999999999], {"subtype": "segment"}], [[2.5, 4.960000000000001], [3.0, 4.960000000000001], {"subtype": "segment"}], [[2.5, 5.640000000000001], [3.0, 5.640000000000001], {"subtype": "segment"}], [[2.5, 5.98], [3.0, 5.98], {"subtype": "segment"}], [[2.5, 6.32], [3.0, 6.32], {"subtype": "segment"}], [[2.5, 6.66], [3.0, 6.66], {"subtype": "segment"}]], "label": [[[0.0, -8.3], "10\\:mL", "center", {}], [[0.0, -6.6], "20\\:mL", "center", {}], [[0.0, -4.9], "30\\:mL", "center", {}], [[0.0, -3.2], "40\\:mL", "center", {}], [[0.0, -1.5], "50\\:mL", "center", {}], [[0.0, 0.1999999999999993], "60\\:mL", "center", {}], [[0.0, 1.9000000000000004], "70\\:mL", "center", {}], [[0.0, 3.5999999999999996], "80\\:mL", "center", {}], [[0.0, 5.300000000000001], "90\\:mL", "center", {}], [[0.0, 7.0], "100\\:mL", "center", {}], [[0.0, 9.5], "100\\:mL", "center", {"color": "red"}]]}
Éprouvette graduée après immersion de l'objet, sans ajout
de liquide
Quel est le volume de l'objet ?