Find the surface area of a cylinder with a diameter of 12 in and height of 10 in. Use the approximation of 3.14 for pi.
To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the rectangular wrap around the side.
The formula for the surface area of a cylinder (S) is given by:
S = 2 * π * r * (r + h)
where π (pi) is approximately 3.14, r is the radius of the bases, and h is the height of the cylinder.
Given that the diameter (d) of the cylinder's base is 12 inches, the radius (r) is half of the diameter:
r = d / 2 = 12 in / 2 = 6 in
Using the given height (h) of 10 inches and the approximation for π (3.14), you can calculate the surface area as follows:
S = 2 * π * r * (r + h)
S = 2 * 3.14 * 6 in * (6 in + 10 in)
S = 2 * 3.14 * 6 in * 16 in
S = 301.44 in^2
So the surface area of the cylinder is 301.44 square inches.