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Question Number 140053 by ajfour last updated on 03/May/21

Commented by ajfour last updated on 03/May/21

$$Findradiusoflargestsphere$$$$withinthecuboidandbetween$$$$theshowntriangularplanes.$$

Commented by MJS_new last updated on 03/May/21

$$\mathrm{the}\mathrm{planes}\mathrm{are}\mathrm{parallel}\Rightarrow \mathrm{diameter}\mathrm{of}\mathrm{sphere}=$$$$=\mathrm{distance}\mathrm{of}\mathrm{planes}$$

Commented by mr W last updated on 03/May/21

$$2R=\frac{1}{\sqrt{\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}}}$$$$\Rightarrow R=\frac{1}{2\sqrt{\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}}}$$

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