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