To calculate the area that needs icing on the outside of the cake, Nick needs to find the surface area of the cake's sides and top.
Calculate the area of the sides: The sides of the cake form a cylinder. The formula for the lateral surface area of a cylinder is 2πrh2πrh, where rr is the radius of the cake and hh is the height of the cake (the distance between the two layers). If the cake has a radius of rr and a height of hh, the area of the sides is 2πrh2πrh.Calculate the area of the top: The top of the cake is a circle with an area of πr2πr2.Add the areas: The total area that needs icing is the sum of the area of the sides and the area of the top: 2πrh+πr22πrh+πr2.So, to calculate the area that needs icing, Nick should use the formula 2πrh+πr22πrh+πr2, where rr is the radius of the cake and hh is the height of the cake.
