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)

Question

asked Jan 12, 2021 144k views

1 Answer

Chasen Bettinger · Answer 1 · 2021-01-16T15:51:37+0000

Answer:

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

Explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole =
(0.278)/(2) =0.139

Surface area of reamed hole =
$\pi r^2$

Surface area of reamed hole =
3.14 * (0.139)^2

Surface area of reamed hole = 0.06066794

Diameter of pin =
(9)/(32)

Radius of pin =
(9)/(64)

Surface area of pin =
$\pi r^2 = 3.14 * ( (9)/(64))^2=0.0620$

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