madkidrockstar
contestada

a round cake pan that is 2 inches deep and has a 7 inch diameter a 6 inch x9 inch rectangular cake pan that is 2 inches deep a. which of these pans has the larger volume justify your answer
b. excluding the bottom of the cake what is the surface area of each cake that will be covered by frosting justify your answer

Respuesta :

a) Pan 2 has a larger volume because:

Pan 1:

Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451
38.48451 x 2 = 76.96902inch^3 (76.97inch^3 to 2dp)

Pan 2:

6 x 9 = 54inch^2
54 x 2 = 108inch^3

b)

Pan 1:

Surface area covered =  60.48inch^2 (2dp) because:

Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451inch^2

Circumference = pi x diameter
pi x 7 = 21.9911486
21.9911486inch^2

21.9911486 + 38.48451 = 60.4756586inch^2

Pan 2:

Surface area covered = 114inch^2 because:

Bottom:
6 x 9 = 54inch^2

2 longer sides:
2 x 9 = 18
18 x 2 = 36inch^2

2 shorter sides:
2 x 6 = 12
12 x 2 = 24inch^2

Total = 54 + 36 + 24 = 114inch^2

(Hope this helps.)


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