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@@ -375,7 +375,7 @@ <h1 style="font-size:160%;margin:7px;">How Accurate Are The Conventional Geometr
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<div class="imgbox">
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<img class="center-fit" src="equityFigure.jpg" alt="area equity figure" id="area">
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<img class="center-fit" src="equityFigure.jpg" alt="figure-square-circle-area-equity" id="area">
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<p style="margin:12px;">Quarter of the uncovered area in the middle:
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<img class="center-fit" src="circumference.jpg" alt="circumference figure" id="circumference">
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<img class="center-fit" src="circumference.jpg" alt="figure-circumference=6.4r" id="circumference">
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<p style="margin:12px;">For the derivation method to be valid it has to have a thickness.
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<p style="margin:12px;">The " V = 4/3 × π × radius³ " estimate is widely used for the volume of a sphere, and it's a cornerstone of theoretical geometry.
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<p style="margin:12px;">The " V = 4 / 3 × π × radius³ " estimate is widely used for the volume of a sphere, and it's a cornerstone of theoretical geometry.
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It was estimated by comparing a hemisphere to the difference between the approximate volume a cone and a circumscribed cylinder.
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These measurements have shown a systematic difference compared to the theoretical predictions based on the traditional 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.
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The " 4 / 3 × π × radius³ " formula is a very rough underestimate.
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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 = " cubic value of ( √( 3.2 ) × radius ) " formula offers a result that aligns more closely with what you would measure in the lab.
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The conventional formula for the surface area of a sphere was developed from the " volume = 4 / 3 × π × radius³ " formula.
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<div style="border: 2px solid red;
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padding: 10px;">
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<p style="margin:6px;">Advertisement
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<h2 style="margin:6px;">Surface area of a sphere</h2>
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<img class="center-fit" src="sphereSurface.jpeg" alt="sphere-surface-illustration" id="sphereSurface">
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<p style="margin:6px;">The image is an illustration.</p>
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<p style="margin:6px;">The formula of the surface area of a sphere is available for 3.2 billion USD. (+tax, if applies)</p>
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</div>
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<a style="margin:12px;" class="rounded-button" href="privacy-policy">Contact</a>
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<img class="center-fit" src="sphereAndConeMarkup.jpeg" alt="Sphere-and-cone">
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<img class="center-fit" src="sphereAndConeMarkup.jpeg" alt="figure-Cone-volume-from-sphere=base×height/√8">
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<p style="margin:12px;">The result is base × height / √8 .
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<img class="center-fit" src="conePyramidVolumeMarkup.jpeg" alt="Pyramids" id="pyramid">
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<img class="center-fit" src="conePyramidVolumeMarkup.jpeg" alt="figure-Pyramids-volume=base×height/√8" id="pyramid">
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<p style="margin:6px;">Advertisement<br><br></p>
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<h2 style="margin:6px;">Surface area of a sphere</h2>
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<img class="center-fit" src="sphereSurface.jpeg" alt="sphere surface illustration" id="sphereSurface">
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<p style="margin:6px;">The image is an illustration.</p>
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<p style="margin:6px;">The formula of the surface area of a sphere is available for 3.2 billion USD. (+tax, if applies)</p>
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<a style="margin:12px;" class="rounded-button" href="privacy-policy">Contact</a>
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<footer>
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<p style="margin:12px;">® All rights reserved</p>
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