Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction
form)

Respuesta :

Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = [tex]\frac{0.278}{2} =0.139[/tex]

Surface area of reamed hole = [tex]\pi r^2[/tex]

Surface area of reamed hole = [tex]3.14 \times (0.139)^2[/tex]

Surface area of reamed hole = 0.06066794

Diameter of pin = [tex]\frac{9}{32}[/tex]

Radius of pin =[tex]\frac{9}{64}[/tex]

Surface area of pin = [tex]\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620[/tex]

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

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