Question

The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.

Answer 1

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

Lateral surface area of a cone

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

• r = base radius
• l = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: brainly.com/question/27170515