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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` Find the radius of the cone. |
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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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