The total surface area of the tomato ketchup can is determined as 37.5 π in².
<h3>
Total surface area of the can</h3>
The can be modeled as a cylinder and the total surface area is calculated as follows;
T.S.A = 2(area of circles) + 2(Curved surface area) or area of rectangle
T.S.A = 2πr² + 2πrh
<h3>Area of each circle in π square inches</h3>
A = πr²
A = (2.5)²π
A = 6.25π in²
<h3>Total area of the circles</h3>
A = 2(6.25π in²) = 12.5 π in²
<h3>Area of the rectangle</h3>
A = 2πrh
A = 2(2.5)(5)π
A = 25 π in²
<h3>Total surface area of the can</h3>
A = 12.5 π in² + 25 π in²
A = 37.5 π in²
Thus, the total surface area of the tomato ketchup can is determined as 37.5 π in².
Learn more about surface area of cylinder here: brainly.com/question/76387
#SPJ1