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  • The radius and slant height of a cone are in the ratio of 4:7 . If its curved surface area is 792cm^2 , find its radius .

The radius and slant height of a cone are in the ratio of 4:7 . If its curved surface area is 792cm^2 , find its radius .

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Solution:  Let r cm be the radius and l cm be the slant height of the cone . Then , 

               r:l =4:7Rightarrow r=4x cm , l=7x cm

Now ,       Curved surface area = 792cm^2

Rightarrow            pi rl =792Rightarrow frac227 imes4x imes7x=792

Rightarrow            x^2=frac79288=9Rightarrow x=3

herefore              r=4x=4 imes3=12cm

Hence , the radius of the base of the cone is 12 cm .

Posted by

Deependra Verma

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