Question

A right circular cone of maximum possible volume is carved out of a solid cone. What fraction of the cylinder is remaining?​

Answer 1

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d) V/6

$\bold{Explanation:}$

Volume of remaining metal = Volume of cylinder – Volume of cone

= πr2h – 13πr2h=23πr2h=23V13πr2h=23πr2h=23V

Volume of 4 spheres = 2/3V ⇒ Volume of one sphere = 2/3 V/4 => V/6