Answer:
[tex]423.9 m^2[/tex] is the required lateral surface area of the cone.
Step-by-step explanation:
The lateral surface area of cone is:
[tex]\pi\cdot r\sqrt{h^2+r^2}[/tex]
Slant height is l which is [tex]l=\sqrt{h^2+r^2}[/tex]
We have given diameter 18 m
Since, radius is half of diameter so r=18/2 =9
Slant height l =15
[tex]\pi=3.14[/tex]
On substituting the values in the formula we get:
[tex]3.14\cdot 9\cdot 15[/tex]
On simplification we get:
[tex]3.14\cdot 135[/tex]
Further simplification will give:
[tex]423.9 m^2[/tex] is the required lateral surface area of the cone.
