Answer:
C
Step-by-step explanation:
The cakes which overlap are the small and middle & the middle and large. The total area of overlap for these cakes will be the surface of the smallest layer's base plus the surface of the middle layer's base.
We can find the area by [tex]\pi(r)^{2}[/tex] where r is radius which is half the diameter.
Smallest cake - D=7.5, so r=3.75
[tex]\pi(3.25)^{2}[/tex] =10.5625 × π = 33.1830724035 or 33.2
Middle Cake - D=10, so r=5.
[tex]\pi(5)^{2}[/tex] =25 × π = 78.5398163397=78.5
We add together 33.2+78.5= 111.7 cm squared
C is the closest.
