A waffle cone is in the shape of a cone with a slant height of 8 inches and a radius of 3 inches. 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 meters
First, we need to calculate the slant height of the cone using the Pythagorean theorem.
In a right triangle with legs of radius 3 inches and height h, the hypotenuse (slant height) is 8 inches.
Using the Pythagorean theorem: h^2 + 3^2 = 8^2
h^2 + 9 = 64
h^2 = 55
h ≈ 7.42 inches.
Now we can calculate the surface area of the side of the cone.
The surface area of a cone is given by the formula: A = πrℓ, where r is the radius and ℓ is the slant height.
A = π * 3 * 7.42 ≈ 22.13 square inches.
To convert square inches to square meters, we need to use a conversion factor.
1 square meter = 10,000 square centimeters.
1 square inch = 6.4516 square centimeters.
So, 1 square meter is equivalent to 10,000/6.4516 = 1550.0031 square inches.
We can now convert the surface area of the side of the cone to square meters.
22.13 square inches * (1 square meter / 1550.0031 square inches)
≈ 0.0142 square meters. Answer: \boxed{0.0142}.