The radius and height of a cone are in the ratio 3:4. If its volume is 301.44` cm^3` Find the radius of the cone.

Explanation

Let radius of the cone is `r` and height is `h` in cm.

Then, we are given,

`r/h = 3/4=> h = (4r)/3->(1)`

Volume of a cone ` = 1/3pir^2h = 301.44cm^3`

`=>1/3pir^2((4r)/3) = 301.44`

`=>(4pir^3)/9 = 301.44`

`=>r^3 = (301.44**9)/(4**3.14) = 216`

`r = 6cm`

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