How do you find the surface area of cones and cylinders?
http://www.ck12.org/tebook/Foundation-and-Leadership-Public-Schools,-College-Access-Reader:-Geometry---Lesson-Plans-and-Exams/r1/section/8.0/
I don't have an account. It says that you need one
I'm sorry. I didn't go far enough into that site to realize that it was an account only site.
This is much better.
http://math.about.com/od/formulas/ss/surfaceareavol_2.htm
To find the surface area of a cone, you need to calculate the area of the curved surface (lateral area) and the base area. The formula for the lateral area of a cone is given by:
Lateral Area = π × r × l
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the base of the cone, and l is the slant height of the cone. The slant height can be found using the Pythagorean theorem, which states:
l² = r² + h²
where h is the height of the cone.
To find the base area of a cone, you can use the formula:
Base Area = π × r²
To find the surface area of a cylinder, you need to calculate the area of the two circular bases and the area of the curved surface (lateral area). The formula for the lateral area of a cylinder is given by:
Lateral Area = 2 × π × r × h
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the base of the cylinder, and h is the height of the cylinder.
To find the base area of a cylinder, you can use the formula:
Base Area = π × r²
To calculate the total surface area, simply add the lateral area and the two base areas together.
In summary, to find the surface area of a cone or cylinder:
1. Determine the relevant dimensions: radius (r) and height (h).
2. Calculate the lateral area using the formula π × r × l for a cone and 2 × π × r × h for a cylinder.
3. Calculate the base area using the formula π × r² for both a cone and cylinder.
4. Add the lateral area and the two base areas together to find the total surface area.