The radius and the height of a right circular cone are in the ratio 5:12 and its volume is 2512 cubic cm. Find the radius and slant height of the cone . (Take pi = 3.14)?

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Answer 1 · 2018-02-22T14:26:34

let the radius be $5x$ and the height be $12x$ .

Volume $=pir^2h$

$2512=3.14xx 25x^2xx12x$

$2512 = 942x^3$

$x^3= 8/3$

$x=2/root(3)3 = 1.39 cm$ (approx)

So the radius would be. $5x=5xx1.39=6.95cm$