1.

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.

Answer» 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`
So, radius of the cone is `6` cm.


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