find the surface area of a cylinder where the radius is=5.5in. and the height is=4 inches
Use the formula explained in this site.
http://www.math.com/tables/geometry/surfareas.htm
I'll be glad to check your answer.
I still need help how to put the numbers into the formula
Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h
A = (2 * 3.14 * 5.5^2) + (2 * 3.14 * 5.5 * 4)
To find the surface area of a cylinder, you need to calculate the sum of the areas of its two circular bases and its lateral surface area.
Step 1: Calculate the area of one circular base:
The formula for the area of a circle is A = π * r^2, where "A" represents the area and "r" is the radius. In this case, since the radius is 5.5 inches, we can substitute the values into the formula: A_base = π * (5.5)^2.
Step 2: Calculate the area of both circular bases:
Since there are two circular bases in a cylinder, we multiply the area of one circular base by 2: A_bases = 2 * A_base.
Step 3: Calculate the lateral surface area:
The lateral surface area of a cylinder is the curved surface area around the sides. It can be found using the formula A_side = 2 * π * r * h, where "h" is the height. In this case, the height is 4 inches, so we can substitute the values: A_side = 2 * π * 5.5 * 4.
Step 4: Calculate the total surface area:
To find the total surface area, we add the area of both circular bases and the lateral surface area: A_total = A_bases + A_side.
Now, let's calculate the surface area:
A_base = π * (5.5)^2
A_base = 3.14 * 30.25
A_base ≈ 94.985 square inches
A_bases = 2 * A_base
A_bases = 2 * 94.985
A_bases ≈ 189.97 square inches
A_side = 2 * π * 5.5 * 4
A_side = 2 * 3.14 * 5.5 * 4
A_side ≈ 137.92 square inches
A_total = A_bases + A_side
A_total ≈ 189.97 + 137.92
A_total ≈ 327.89 square inches
Therefore, the surface area of the cylinder is approximately 327.89 square inches.