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#