A bakery is creating a round cake with three different levels as shown below.   The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 52AR
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A bakery is creating a round cake with three different levels as shown below.

 

The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes?

 
 
A

25π25π in2

 
 
B

50π50π in2

 
 
C

100π100π in2

 
 
D

200π200π in2

A bakery is creating a round cake with three different levels as shown below.
Diameter = 6 in
Diameter = 8 in
-Diameter = 10 in
The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the
largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to
determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not
be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes?
A
25л in?
B
50л in?
C
1007 in?
200T in?
Transcribed Image Text:A bakery is creating a round cake with three different levels as shown below. Diameter = 6 in Diameter = 8 in -Diameter = 10 in The diameters of the three cakes are 10 in, 8 in, and 6 in. The cakes are stacked and centered on top of each other with the largest cake on the bottom and the smallest cake on top. In order to plan the decorations for the cake, the bakery needs to determine the total exposed area available for decoration on the top faces of the three cakes (the sides of each cake will not be decorated). What is the total exposed area, in square inches, of the top faces of the three cakes? A 25л in? B 50л in? C 1007 in? 200T in?
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