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  • The radius and height of a cone are in the ratio 3:4 . If its volume is 301.44 cm^3 , what is its radius ? what is its slant height ?

The radius and height of a cone are in the ratio 3:4 . If its volume is 301.44 cm^3 , what is its radius ? what is its slant height ?

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Solution:  Let the radius r and slant height h of the cone be 3x  cm and 4x cm respectively . 

               Then , 

                         Volume =301. 44cm^3

Rightarrow                     frac13pi r^2h=301.44 cm^3

Rightarrow                     frac13 imes 3.14 imes3x imes 3x imes 4x =301.44

Rightarrow                    x^3=frac301.443 imes4 imes3.14Rightarrow x^3=frac301.4437.68Rightarrow x=2

herefore                   r=radius =3x=6cm      and   h=height =4x=8cm

Now , slant height =sqrtr^2+h^2cm=sqrt36+64=10cm

Posted by

Deependra Verma

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