What is the surface area of a cylinder whose height is 14ft and radius is 6ft?

Answer 1

The formula for finding the surface area of a cylinder is 2(pi r2) + (2 pi r) x h

You can break this down in the following ways: * The area of a circle is (pi r2). A cylinder has 2 flat circular surfaces; the top and the bottom, so we need to do this equation twice (or, since both ends are the same and to make the equation easier, do it once and times that answer by 2) * 2 x (3.14159 x 62)

** = 2 x (3.14159 x 36) ** = 2 x 113.097 ** = 226.19 sq. ft. (square feet)

* This is the combined surface areas of the top and bottom, now you need to add this to the surface are of the body. * The second half of the equation determines the surface area of the body. To do this you times the perimeter of the top/bottom by the height of the cylinder. The equation for perimeter is (2 pi r) * (2 x 3.14159 x 6) x 14

** = 37.699 x 14 ** = 527.79 sq. ft. * Now that you have the combined areas of each end and the surface area of the body you can now add them together to get the total surface area of the cylinder. ** 226.19 + 527.79 ** = 753.98 sq. ft.