Answer:
The icing cover refers to the surface area of the cake.
Surface area of cylinder = 2*pi*r^2 + 2*pi*r*h
Surface area of cylinder without bottom area = pi*r^2 + 2*pi*r*h
Subtracting the areas, we have Difference = 254.5 in2
Step-by-step explanation:
The icing cover refers to the surface area of the cake.
The surface area of a cylinder is given by:
S = 2*pi*r^2 + 2*pi*r*h
As we don't need to cover the bottom of the cake, we can use the following formula:
S = pi*r^2 + 2*pi*r*h
So for the bigger cake, the radius is 7 inches and the height is 8 inches, then we have:
S1 = pi*7^2 + 2*pi*7*8 = 505.7964 in2
The smaller cake has a radius of 4 inches and height of 8 inches, so:
S2 = pi*4^2 + 2*pi*4*8 = 251.3274 in2
To find how much area will be covered more for the bigger cake, we just need to find the difference of the bigger cake area by the smaller cake area:
Difference = S1 - S2 = 505.7964 - 251.3274 = 254.469 in2
Rounding to nearest tenth, we have Difference = 254.5 in2
