Marco is baking a cake for a party. The cake is in the shape of a right circular cylinder. He needs to buy frosting for the cake but doesn’t know the surface area of the cake. If the diameter of the cake pan is 13 inches, and the height is 4 inches, what is the surface area he needs to frost? Use 3.14 for π.(1 point)
Responses
163.28 inches2
163.28 inches squared
428.61 inches2
428.61 inches squared
265.33 inches2
265.33 inches squared
1,287.88 inches2
To find the surface area of the cylinder, we need to calculate the lateral surface area and then add the area of the two circular bases.
The lateral surface area of a cylinder is calculated as: 2 * π * r * h, where r is the radius and h is the height.
First, we need to find the radius of the cylinder:
Radius = diameter / 2 = 13 inches / 2 = 6.5 inches.
The lateral surface area is:
2 * 3.14 * 6.5 * 4 = 163.28 inches^2.
The area of each circular base is:
π * r^2 = 3.14 * 6.5^2 = 132.665 inches^2.
The total surface area is:
Lateral surface area + 2 * base area = 163.28 + 2 * 132.665 = 163.28 + 265.33 = 428.61 inches^2.
Therefore, Marco needs to frost 428.61 inches squared in surface area.