(Solution) - The Gates Manufacturing Co produces pulley wheels such as the one -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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The Gates Manufacturing Co. produces pulley wheels such as the one shown. Determine the total surface area of the wheel in order to estimate the amount of paint needed to protect its surface from rust.
Given:
a = 1 in
c = 0.5 in
d = 1 in
e = 1 in
f = 0.25 in
b = 2(c + d + e)