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A cone of maximum size is carved out from a solid cube of edge length $l$. The volume of the cone is :
- (a)$\frac{\pi l^3}{12}$
- (b)$\frac{\pi l^3}{3}$
- (c)$l^3 \left(1-\frac{\pi}{3}\right)$
- (d)$\frac{\pi l^3}{8}$
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(A) $\frac{\pi l^3}{12}$ (1 Mark)