How do you calculate the surface area of a cylinder when the diameter is 15cm and the height it 10cm
http://www.math.com/tables/geometry/surfareas.htm
I went on that website but I don't understand it
Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h
SA = 2(3.14 * 7.5^2) + 2(3.14 * 7.5 * 10)
SA = 353.25 + 471.0
SA = _______ square cm
will it be 824.25
Yes.
To calculate the surface area of a cylinder, you need to sum the areas of its bases and its lateral surface.
First, let's calculate the area of the bases. The base of a cylinder is a circle, and its area can be found using the formula A = πr^2, where A is the area and r is the radius. The diameter (15cm) is twice the radius, so the radius is 15cm/2 = 7.5cm. Thus, the area of one base is A_base = π(7.5cm)^2.
Next, let's calculate the area of the lateral surface. The lateral surface of a cylinder is a rectangle that wraps around the cylinder, and its width is equal to the circumference of the base. The circumference of a circle can be found using the formula C = 2πr. So, the circumference of the base is C_base = 2π(7.5cm). The height of the rectangle is the height of the cylinder (10cm). Therefore, the area of the lateral surface is A_lateral = C_base * height.
Now, we can calculate the surface area of the cylinder by summing the areas of the bases and the lateral surface. The formula is A_total = 2A_base + A_lateral.
Plugging in the values, we have:
A_base = π(7.5cm)^2
A_lateral = 2π(7.5cm) * 10cm
A_total = 2(π(7.5cm)^2) + 2π(7.5cm) * 10cm
To find the exact numerical value, you can use a calculator to evaluate the expression.