Question

find the radius of the cone whose height is 15cm and slant height is 17 cm​

Answer 1

Step-by-step explanation:

$l = \sqrt{ {h}^{2} + {r}^{2} } \\ given \: l = 17cm \\ h = 15cm \\ {l}^{2} = {h}^{2} + {r}^{2} \\ {17}^{2} = {15}^{2} + {r}^{2} \\ 289 = 225 + {r}^{2} \\ 289 - 225 = {r}^{2} \\ 64 = {r}^{2} \\ r = \sqrt{64} = 8cm$