SOLUTION: A cake has three circular tiers; each is 8 cm high. The tiers have diameters 60 cm, 48 cm, and 36 cm. What is the surface area to be covered by frosting? There is not frosting b

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Question 136470: A cake has three circular tiers; each is 8 cm high. The tiers have diameters 60 cm, 48 cm, and 36 cm. What is the surface area to be covered by frosting? There is not frosting between layers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cake has three circular tiers; each is 8 cm high. The tiers have diameters 60 cm, 48 cm, and 36 cm. What is the surface area to be covered by frosting? There is not frosting between layers.
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Find the area of the circular top (r=18 cm):
At = pi*18^2
At = 1017.876 sq/cm
:
:
Areas of the sides can be found by multiplying the circumference by the height
A1 = pi*60*8
A1 = 1507.964
:
A2 = pi*48*8
A2 = 1206.372
:
A3 = pi*36*8
A3 = 904.779
:
Add the areas of the 3 sides + the area of the top: 4637 sq/cm