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)

Question

Responses

428.61 inches2
428.61 inches squared

163.28 inches2
163.28 inches squared

265.33 inches2
265.33 inches squared

1,287.88 inches2
1,287.88 inches squared

Answer 1

To find the surface area of a right circular cylinder, you need to calculate the lateral surface area (the sides) and the two circular bases.

Lateral surface area = 2πrh
= 2(3.14)(6.5)(4)
= 163.28 inches²

Circular base area = πr²
= (3.14)(6.5)²
= 132.665 inches²

Total surface area = Lateral surface area + 2(circular base area)
= 163.28 + 2(132.665)
= 428.61 inches²

Therefore, Marco needs to frost a surface area of 428.61 inches².