Answer:
578.05 inch²
Explanation:
Calculating the circumference of the base and the area of the sides and adding them together will get the surface area of a cone.
A=πr², where r is the circle's radius, is the formula for calculating a circle's area. To calculate the area of the circular base, we utilize this formula.
The sector, or side, of the cone, is essentially a segment of a circle. The ratio of the cone's radius to its slant height, or r/s, determines the sector's size.
We take the area of the circle's section to get the sector's size.
A=πr²⋅s/r
this simplifies to πrs.
Then, we multiply the to determine the area of the side of the cone.
the total surface area of the cone =bottom face +side
=πr²+ πrs
= πr(r+s)
=π8(8+15) =578.05 inch²