A waffle cone in the shape of a cone with a slant height of 8 in and a radius 3 in a Baker wants to know the surface area of the cone in order to cover the cone with melted chocolate what is the surface area of the side of the cone in square inches use 3.14 for pi and round to the nearest hundred
The slant height of the cone is the hypotenuse of a right triangle formed by the slant height, the radius, and the height (h) of the cone. Using the Pythagorean theorem, we can find the height of the cone:
h^2 = (slant height)^2 - (radius)^2 = 8^2 - 3^2 = 64 - 9 = 55
h ≈ √55 ≈ 7.416
The side of the cone is a curved surface area, which can be calculated using the formula:
Surface area of side = π * radius * slant height
= 3.14 * 3 * 8 ≈ 75.36
Therefore, the surface area of the side of the cone, rounded to the nearest hundred, is approximately 75 square inches.