The ratio between the slant height and perpendicular height of a cone is 5:4.The radius of the base of the cone is 6cm.How to find slant height of cone?

Answer 1

let the perpendicular height be 4x
let the slant height be 5x

(4x)^2 + 6^2 = (5x^2
16x^2 + 36 = 25x^2

carry on, of course you would reject the negative value of x after taking the square root at the end.