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Question

The volume of the largest right cone that can be cut out of a cube of edge  7 cm is :


Options:
A .  13.6 `cm^3`
B .  89.8`cm^3`
C .  121`cm^3`
D .  147.68`cm^3`
Answer: Option B

Volume of the largest cone = Volume of the cone with diameter of base 7 cm and height 7 cm .

                                           = `(1/3 xx 22/7 xx 3.5 xx 3.5 xx 7) cm^3`

                                            = `(269.5/3) cm^3 =  89.8 cm^3`



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