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 dosent know the surface area of the cake if the diameter of the cake pan us 13 inches and the height is 4 inches what is the surface area he needs to frost? Use 3.14

1 answer

First, we need to calculate the surface area of the cylinder.

The formula for the surface area of a cylinder is:
Surface Area = 2 * π * r * (r + h)

Given that the diameter of the cake pan is 13 inches, the radius (r) would be half of that, so r = 6.5 inches. The height (h) of the cake is 4 inches.

Now we can plug these values into the formula:
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 = 428.82 square inches

So, Marco would need to buy frosting for a surface area of 428.82 square inches.