Update volume formula explanation in index.html

Revised the explanation of the volume formula for a sphere, clarifying the differences between theoretical and empirical measurements.

Author: Gmac4247

index.html

@@ -3404,7 +3404,7 @@ <h3 style="margin:7px">The volume of a sphere is defined by comparing it to a cu
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-  <summary><h4 style="margin:7px">The " V = 4/3×π×radius³ " formula is widely used for the volume of a sphere.</h4></summary>
+  <summary><h4 style="margin:7px">The " V = 4 / 3 × π × radius³ " formula is widely used for the volume of a sphere.</h4></summary>
 <p style="margin:12px">It is a cornerstone of theoretical geometry. 
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@@ -3419,10 +3419,10 @@ <h3 style="margin:7px">The volume of a sphere is defined by comparing it to a cu
 This formula isn't based on abstract geometric ideals alone but on tangible experiments where I've measured the volume of real spheres. 
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-These measurements have shown a systematic difference compared to the theoretical predictions based on the traditional "  V = 4/3×π×radius³ " formula, suggesting that the way we mathematically describe the volume of a sphere might need to be reconsidered when applied to physical objects. 
+These measurements have shown a systematic difference compared to the theoretical predictions based on the conventional "  V = 4/3×π×radius³ " formula, suggesting that the way we mathematically describe the volume of a sphere might need to be reconsidered when applied to physical objects. 
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-The " 4/3×π×radius³ " formula is a very rough underestimate. 
+<strong>The traditional " 4/3×π×radius³ " formula is a very rough underestimate based on an exaggerated, distortion-based comparison method that discards the difference between the straight slant height of a cone and the curvature of a sphere.</strong>
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 If you're trying to calculate the volume of a physical ball or sphere for a practical purpose – whether it's for a science experiment, engineering, or any other real-world application – my empirically derived V = (√(3.2)×radius)³ formula offers a result that aligns more closely with what you would measure in the lab.