The radius and height of a right cone are in the ratio 3:4. Then the ratio of total surface area to curved surface of the cone is
8:5
Given r:h = 3:4 Let r = 3x and h = 4x
From the relation l2=h2+r2
l=√(3x)2+(4x)2
⇒l=5x
Required ratio=πr(r+l)πrl
=π×3x(3x+5x)π×3x×5x
= 8:5