Surface Area of Cylinders Quick Check
5 of 55 of 5 Items
Question
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 calculate the surface area of a cylinder, you need to find the lateral surface area and the two circular bases.
Given:
Diameter = 13 inches
Radius = Diameter / 2 = 13 / 2 = 6.5 inches
Height = 4 inches
Lateral Surface Area = 2πrh = 2 * 3.14 * 6.5 * 4 = 163.28 inches squared
Circular Base Area = πr^2 = 3.14 * 6.5^2 = 132.665 inches squared
Total Surface Area = 2Lateral Surface Area + 2Circular Base Area = 2 * 163.28 + 2 * 132.665 = 326.56 + 265.33 = 591.89 inches squared
Therefore, the correct response is:
428.61 inches squared