Answer:
The perimeter is 36.5 inches.
The area is 59.5 square inches.
The surface area is about 153.94 square inches.
Step-by-step explanation:
From the figure it is clear that,
Radius of cake = 7 in
Diameter of cake = 14 in
Height = 4.25 in
We need cut the cake vertically along its diameter to make 2 congruent parts.
So, cross section is a rectangle of length 4.25 in and width 14 in.
Perimeter of rectangle is
[tex]Perimeter=2(length+width)[/tex]
[tex]Perimeter=2(4.25+14)[/tex]
[tex]Perimeter=2(18.25)[/tex]
[tex]Perimeter=36.5[/tex]
The perimeter is 36.5 inches.
Area of rectangle is
[tex]Area=lengt\times width[/tex]
[tex]Area=4.25\times 14[/tex]
[tex]Area=59.5[/tex]
The area is 59.5 square inches.
We need to find the surface area of the cake that is not frosted before the cut. It means the area of base.
Area of circle = [tex]\pi r^2[/tex]
where, r is radius.
Area of circular base = [tex]\pi (7)^2[/tex]
[tex]=49\pi [/tex]
[tex]=153.93804[/tex]
[tex]\approx 153.94[/tex]
Therefore, the surface area is about 153.94 square inches.
