What is the ellipsoid volume formula used to estimate organ volume in imaging?

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Multiple Choice

What is the ellipsoid volume formula used to estimate organ volume in imaging?

Explanation:
Treat the organ as an ellipsoid. The volume of an ellipsoid with semi-axes a, b, c is (4/3)πabc. If you measure the full dimensions L, W, H, then a = L/2, b = W/2, c = H/2. Plugging in gives V = (4/3)π(L/2)(W/2)(H/2) = (π/6) LWH, which is about 0.523 times the product of the three dimensions. So the best estimate uses L × W × H × 0.523. The other constants (0.5, 0.333, 0.75) don’t come from the ellipsoid formula and don’t reflect this derivation. This approach is commonly used in imaging to estimate volumes of organs such as the liver, kidney, or spleen when only linear measurements are available.

Treat the organ as an ellipsoid. The volume of an ellipsoid with semi-axes a, b, c is (4/3)πabc. If you measure the full dimensions L, W, H, then a = L/2, b = W/2, c = H/2. Plugging in gives V = (4/3)π(L/2)(W/2)(H/2) = (π/6) LWH, which is about 0.523 times the product of the three dimensions.

So the best estimate uses L × W × H × 0.523. The other constants (0.5, 0.333, 0.75) don’t come from the ellipsoid formula and don’t reflect this derivation. This approach is commonly used in imaging to estimate volumes of organs such as the liver, kidney, or spleen when only linear measurements are available.

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