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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 .

Answers (1)

D Deependra Verma

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 = 792 $cm^2$

$Rightarrow$ $pi rl =792Rightarrow frac227 imes4x imes7x=792$

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

$herefore$ $r=4x=4 imes3=12cm$

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

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