Question

The lateral surface area of a right circular cone of radius 12cm is 489.84 cm^2. Find the height of the cone (use pie =3.14

Answer 1

Step-by-step explanation:

Lateral surface area of a cone = πrl

πrl= 489.84

3.14 * 12 * l = 489.84

by solving above figure we get

l = 13 cm

So slaint height of the cone = 13 cm

${h}^{2} = {l}^{2} - {r}^{2} \\ \: \: = {13}^{2} - {12}^{2} \\ \: \: = 169 - 144 \\ \: \: = 25 \\ {h}^{2} = {5}^{2} \\ or \\ h = 5cm$

So height of the cone = 5 cm