Question

perpendicular height of a cone is 12 cm and its slant height is 13 cm . find the radius of the base of the cone. tel me step by step answer ​

Answer 1

Given: Height (h) = 12 cm, length (l) = 13 cm To find: Radius of the base of the cone (r) l2 = r2 + h2 ∴ 132 = r2 + 122 ∴ 169 = r2 + 144 ∴169 – 144 = r2 ∴ r2 = 25 ∴ r = √25 … [Taking square root on both sides] = 5 cm ∴ The radius of base of the cone is 5 cm.Read more on Sarthaks.com - https://www.sarthaks.com/852954/perpendicular-height-cone-is-12-cm-and-its-slant-height-13-find-the-radius-the-base-the-cone

Answer 2

Answer:

5cm

Step-by-step explanation:

perpendicular height(h)=12cm

slant height(l)=13cm

Let the radius of the base of the cone be r cm,

We know that,

l²=h²+r²

or, r²= l²-h²= (13)²-(12)²=169-144=25

or, r²=25

or, r= 5cm