Question

perpendicular height of the cone is 12 cm and its slant height is 30 cm find the radius of the base and of the cone​

Answer 1

Step-by-step explanation:

Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone.

MHB - Math Part-II

9. Surface Area and Volume

Answer

We have

Given that, height of cone = 12 cm and slant height of cone = 13 cm.

We need to find radius of the base of the cone, r.

In right-angled ∆AOB, using Pythagoras theorem,

AB2 = AO2 + OB2

⇒ OB2 = AB2 – AO2

⇒ r2 = 132 – 122

⇒ r2 = 169 – 144 = 25

⇒ r = √25

⇒ r = 5