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
265.33 inches2
265.33 inches squared
1,287.88 inches2
1,287.88 inches squared
428.61 inches2
428.61 inches squared
163.28 inches2
The formula for the surface area of a right circular cylinder is:
Surface Area = 2πr(r+h)
Given that the diameter of the cake pan is 13 inches, the radius (r) is half of the diameter, so r = 13/2 = 6.5 inches. The height (h) of the cake is 4 inches.
Plugging in the values:
Surface Area = 2 * 3.14 * 6.5 * (6.5 + 4)
Surface Area = 2 * 3.14 * 6.5 * 10.5
Surface Area = 2 * 3.14 * 68.25
Surface Area = 428.61 inches squared
Therefore, Marco needs 428.61 inches squared of frosting for the cake. So the correct answer is:
428.61 inches squared.