Question:
The radius and slant height of a right circular cone are in the ratio 7:13 and its curved surface area is 286.cm.sq.find its radius.
Answer:
Let radius and slant height of the right circular cone are 7x and 13x
Given, curved surface area = 286
=> πrl = 286
=> (22/7)*7x*13x = 286
=> 22*x*13x = 286
=> 286x2 = 286
=> x2 = 286/286
=> x2 = 1
=> x = ± 1
Now radius = 7x = ± 1*7 = ± 7
Since radius can not be negative,
So, the radius of right circular cone is 7 cm
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