What is the radius of the largest sphere that can be fit inside a right circular cone of base radius 9cm and slaint heigt 21cm?
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As shown in the attached figure, OE=OD=radius of the incircle and triangle ABC is an equialteral triangle with OD ⊥⊥ BC. Thus the triangle ODC is a 30-60-90 triangle and as BD=DC=6, ODCD=13√ODCD=13, giving you OD=23√OD=23
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