Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.

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2 Answers

For largest circular cone radius of the base of the cone = 1/2 edge of cube

= 1/2 x 14 = 7 cm

And height of the cone = 14 cm

Volume of cone = 1/3 x 3.14 x 7 x x 14

= 718.666 cm3

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We have, 

Radius of the base of the cone =14/2 = 7 cm 

Height of the cone = 14 cm 

∴ Volume of the cone = \(\frac{1}{3}\)×\(\frac{22}{7}\)×72×14 cm3 

= 718.66 cm3

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