Question

A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical height of the cone?​

Answer 1

Explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm