The total surface area of the tomato ketchup given in the diagram can be determined as follows:
The total surface area of a shape is the addition of the areas of its individual surface.
So that the questions can be answered as thus:
A. To find the area of the given circle;
i. Area of a circle = [tex]\pi r^{2}[/tex]
where r is the radius of the circle.
area of the circle = π[tex](2.5)^{2}[/tex]
= 6.25[tex]\pi[/tex]
ii. There are two identical circles in the cylinder.
iii. The total area of all circles = 2(6.25[tex]\pi[/tex])
= 12.5[tex]\pi[/tex] square inches
B. To find the area of the rectangle;
i. one side of the rectangle is 5 inches.
ii. The other side of the rectangle = 2[tex]\pi[/tex]r
= 2(2.5)[tex]\pi[/tex]
= 5[tex]\pi[/tex] inches
iii. The area of the rectangle = l x b
= 5[tex]\pi[/tex] x 5
= 25[tex]\pi[/tex] square inches
C. Total surfce area of the cylinder = 5[tex]\pi[/tex] + 25[tex]\pi[/tex]
= 30[tex]\pi[/tex] square inches
For more clarifications on total surface area of a cylinder, check: https://brainly.com/question/16990329
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