To find the total surface area of the cylindrical red velvet cake that needs to be iced, we need to find the lateral surface area and the area of the circular bottom.
Lateral Surface Area:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 * 3.14 * 15 * 12
Lateral Surface Area = 2 * 3.14 * 180
Lateral Surface Area = 376.8 cm²
Area of Circular Bottom:
Area of Circular Bottom = πr²
Area of Circular Bottom = 3.14 * 15²
Area of Circular Bottom = 3.14 * 225
Area of Circular Bottom = 706.5 cm²
Total Surface Area:
Total Surface Area = Lateral Surface Area + Area of Circular Bottom
Total Surface Area = 376.8 + 706.5
Total Surface Area = 1,083.3 cm²
Rounded to the nearest square centimeter, the amount of icing needed for one red velvet cake is 1,083 cm².
Bisecting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 15 centimeters and a height of 12 centimeters.
If everything but the circular bottom of the cake was iced, how many square centimeters of icing is needed for one cake? Use 3.14 for π and round to the nearest square centimeter.
810 cm2
585 cm2
2,543 cm2
1,837 cm2
1 answer
1 answer