Question

perpendicular height of a cone is 5 cm and its slant height is 13 cm. find the radius of the base of cone​

Answer 1

Given,

height = h = 5 cm

height = h = 5 cm slant height = l = 13 cm

radius = ?

We know that,

$l = \sqrt{ {r}^{2} + {h}^{2} } \\ = > {l}^{2} = {r}^{2} + {h}^{2} \\ = > {r}^{2} = {l}^{2} - {h}^{2} \\ = > r = \sqrt{ {l}^{2} - {h}^{2} } \\ = > r = \sqrt{ {13}^{2} - {5}^{2} } \\ = > r = \sqrt{169 - 25} \\ = > r = \sqrt{144} = 12cm$

Thus the radius of the base of cone is 12 cm