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Question

Volume of a right circular cone having base radius 70 cm and curved surface area 40040`cm^2` is  :


Options:
A .  823400`cm^3`
B .  824000`cm^3`
C .  840000`cm^3`
D .  862400`cm^3`
Answer: Option D

`22/7 xx 70 xx l = 40040`

`rArr l = ((40040 xx 7)/(22 xx 70))` = 182

Now ,    l = 182 cm ,    r = 70 cm 

So ,   h = `sqrt((182)^2 - (70)^2) = sqrt(252 xx 112)   ` = 168 cm .

`:.`     Volume = `(1/3 xx 22/7 xx 70 xx 70 xx 168) cm^3= 862400 cm^3`




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