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
428.61 inches2
428.61 inches squared
163.28 inches2
163.28 inches squared
1,287.88 inches2
1,287.88 inches squared
265.33 inches2
To calculate the surface area of the right circular cylinder cake, we need to find the lateral surface area and the surface area of the two circular bases.
The lateral surface area formula for a cylinder is: 2πrh
Given:
r (radius) = diameter / 2 = 13 / 2 = 6.5 inches
h (height) = 4 inches
Lateral surface area = 2 * 3.14 * 6.5 * 4 = 163.28 inches squared
The surface area of the two circular bases is: 2πr^2
Base area = 2 * 3.14 * 6.5^2 = 2 * 3.14 * 42.25 = 265.33 inches squared
Total surface area = Lateral surface area + Base area = 163.28 + 265.33 = 428.61 inches squared
Therefore, Marco needs 428.61 inches squared of frosting to frost the cake.
The correct response is:
428.61 inches2
428.61 inches squared