Around 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

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.)

yes

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!