what is the surface area in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? use 3.14 for pi. (1point)

Answer 1

To find the surface area of a cone, we need to find the lateral surface area and the base area separately, and then add them together.

The lateral surface area of the cone can be found using the formula:
Lateral Surface Area = π × radius × slant height

Lateral Surface Area = 3.14 × 10 × 15
Lateral Surface Area = 471 square inches

The base area of the cone can be found using the formula:
Base Area = π × radius^2

Base Area = 3.14 × 10^2
Base Area = 314 square inches

Therefore, the surface area of the cone is:
Surface Area = Lateral Surface Area + Base Area
Surface Area = 471 + 314
Surface Area = 785 square inches