The lateral area of a right circular cone is equal to 120 pi cm^2. if the base of the cone has a diameter of 24 cm, what is the length of the slant height

The lateral area of the cone is given by:

Al = pi * r * g

Where,

r: radius of the base

g: slant height

Substituting values we have:

120 = 3.14 * 12 * g

Clearing g we have:

120 / (3.14 * 12) = g

g = 3.18 cm

Answer:

The length of the slant height is:

g = 3.18 cm