The radius and the height of a right circular cone are in the ratio 5:12. If its volume is 314 cubic metre, find the slant height and the radius `(U s e\ pi=3. 14)`

Explanation

let radius `r=5x` & `h=12x`

given volume `=314m^3`

or, `(1/3)pi(r^2)h=314`

`(1/3)pi{(5x)^2}12x=314`

`x=1`

so radius `r=5xx1=5m` & `h=12xx1=12m`