Find the surface area of the cone to the nearest whole unit. (1 point) Responses 226 in2 226 in 2 88 in2 88 in 2 377 in2 377 in 2 138 in2
7 in on the side
8 in in the middle
To find the surface area of a cone, you need to add the area of the base (πr^2) to the lateral surface area (πr*l), where r is the radius of the base and l is the slant height of the cone.
Given:
- Radius (r) = 4 in
- Slant height (l) = 7 in
Base area = π*(4^2) = 16π in^2
Lateral surface area = π*4*7 = 28π in^2
Total surface area = Base area + Lateral surface area
= 16π + 28π
= 44π
≈ 137.88 in^2
Therefore, the surface area of the cone is 138 in^2.