Question

A cone has a lateral area 100 pi and total surface area 136 pi. Find its radius.

Answer 1

Answer:

Radius of the cone is 6 unit.

Step-by-step explanation:

Given:

Lateral Surface Area of Cone, LSA = 100π unit²

Total Surface Area of cone, TSA = 136π unit²

Let, r be the radius of cone.

According to the question,

Total Surface area = lateral surface area + Area of circle

136π = 100π + πr²

πr² = 36π

r² = 36

r = 6

Therefore, Radius of the cone is 6 unit.