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
A). 163.28 inches2
163.28 inches squared
B). 265.33 inches2
265.33 inches squared
C). 428.61 inches2
428.61 inches squared
D). 1,287.88 inches2
Correct answer: B). 265.33 inches2
Explanation:
The surface area of a right circular cylinder can be calculated using the formula:
Surface Area = 2πrh + 2πr^2
Given that the diameter (d) of the cake pan is 13 inches, the radius (r) is half of that, so r = 13/2 = 6.5 inches. The height (h) is given as 4 inches.
Substitute the values into the formula:
Surface Area = 2(3.14)(6.5)(4) + 2(3.14)(6.5)^2
Surface Area = 265.33 inches2
Therefore, Marco needs 265.33 inches2 of frosting for the cake.