Imagine the sphere as a round jamun, and the cylinder inside it like a besan ke laddu, but with flat ends. To make the laddu as big as possible, you must adjust its height and width carefully. The maths says the cylinder's height should be √2 times the sphere's radius for the largest volume. These calculations remind me of measuring cloth for my granddaughter's dresses—too tall and it's narrow, too short and it's wide, always seeking the perfect fit in between.
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