A road construction marker is in the shape of a cone that has a slant height of 2.5 meters. If the curved surface area of the cone is 6.28 square meters, find the diameter of the cone.

Answer: the diameter of the cone is 1.6m

Step-by-step explanation:

The formula for determining the curved surface area of a cone is expressed as

Area = πrl

Where

r represents the radius of the cone.

l represents the slant height of the cone.

π is a constant whose value is 3.14

From the information given,

the curved surface area of the cone is 6.28 square meters

slant height = 2.5 meters.

Therefore,

3.14 * 2.5 * r = 6.28

7.85r = 6.28

r = 6.28/7.85

r = 0.8

Diameter = 2 * radius

Diameter = 2 * 0.8 = 1.6 meters