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 find the surface area of the cylindrical cake, we need to calculate the lateral surface area and the two circular bases.
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 6.5 * 4
Lateral Surface Area = 162.8 in²
Circular Base Area = πr²
Circular Base Area = 3.14 * 6.5²
Circular Base Area = 132.7 in²
Total Surface Area = Lateral Surface Area + 2 * Circular Base Area
Total Surface Area = 162.8 + 2 * 132.7
Total Surface Area = 162.8 + 265.4
Total Surface Area = 428.2 in²
Therefore, the surface area Marco needs to frost is approximately 428.2 inches squared. So, the closest answer given is 428.61 inches squared.