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Question
The radius and the height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cubic meter, find the slant height and the radius (Use it ๐ = 3.14).
Solution
Let the ratio be x
∴ Radius `r`= 5x
Height ‘h’ = 12x
WKT,
∴ Slant height`= sqrt(r^2+h^2)=sqrt((5x)^2+(12x)^2)=13x`
Now volume`=314m^3` [given data]
⇒`1/3pir^2h=314m^3 `
⇒`1/3xx3.14xx25x^2xx12x=314`
⇒`x^3=(314xx3)/(3.14xx25xx12)`
⇒`x^3=1⇒x=1`
∴ Slant height = 13x=13m
Radius=5x=5m
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