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 t. (1 point)
O 1,287.88 inches?
O 265.33 inches?
• 428.61 inches?
• 163.28 inches?
To calculate the surface area of the right circular cylinder, we need to find the lateral area and the area of the two circular bases.
Lateral area = perimeter of the base x height
Perimeter of the base = πd = 3.14 x 13 = 40.82 inches
Lateral area = 40.82 inches x 4 inches = 163.28 square inches
Area of the circular bases = 2 x (1/2)πr^2
r = d/2 = 13/2 = 6.5 inches
Area of the circular bases = 2 x (1/2) x 3.14 x 6.5^2 = 2 x (1/2) x 3.14 x 42.25 = 132.71 square inches
Total surface area = Lateral area + Area of circular bases
Total surface area = 163.28 + 132.71 = 295.99 square inches
Therefore, Marco needs to frost 295.99 square inches of the cake. None of the options provided match this calculation exactly.