Respuesta :
Answer:
[tex]A=35\pi\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of a cone, d = 7 inches
Radius, r = 3.5 inches
The slant height of the cone, l = 10 inches
We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
Substitute all the values,
[tex]A=\pi\times 3.5\times 10\\\\A=35\pi\ \text{inches}^2[/tex]
So, the lateral surface area of the cone is [tex]35\pi\ \text{inches}^2[/tex].