Hello!
To find the lateral area of a cone you use the equation
[tex]A = \pi r \sqrt{ h^{2} + r^{2} } [/tex]
A is area
r is radius
h is height
The radius is have the diameter
Put in the values you know
[tex]A= \pi 80 \sqrt{ 60^{2} + 80^{2} } [/tex]
Square the numbers
[tex]A = \pi 80 \sqrt{3600+6400 } [/tex]\
Add
[tex]A = \pi 80 \sqrt{10000} [/tex]
Take the square root
[tex]A = \pi 80 * 100[/tex]
Multiply 80 and 100
[tex]A = \pi 8000[/tex]
Multiply
25133
The answer is [tex]C)25133 m^{2} [/tex]
Hope this helps!
