OK for all the "smartasses" out there......

[ChromeGorilla]

Not that kind of smartass......:biggrin: Here's one for the engineer types out there......




What is the volume of a cube that measures 50x50x50 mm after (3) holes, each 20mm in diameter have been drilled though it? 1 hole through the face and exits the back, 1 hole enters the side and exits opposite side and last hole enters top and exits the bottom. All 3 cylinders are mutually perpendicular to each other.



Good luck...and no using any CAD software........

[RedDog]

holes don't matter as the question is asked - 125,000 mm

[Rootsy]

the volume of SOLID material remaining after drilling 3 holes EXACTLY 20.00000000 mm in diameter and perfectly cylindrical to 8 decimal places through the exact center of 3 orthoginal faces to 8 decimal places and perfectly perpendicular to each face within 8 decimal places of the perfectly cubic cube measuring exactly 50.00000000 x 50.00000000 x 50.00000000 mm would be....

say the preceding really fast 3 times... drum roll please...

89189.87698280 mm^3

have a nice day

JR - your local smartass engineer :)

[Carl C]

The volume is zero because because when you fill the cube it will pour out of the holes.;)

[Schnook]

Do the holes intersect? If so,
...............2...........3
LWH-3(pi)R H-2(pi)R

I think

But I like Carl's answer better.

[ChromeGorilla]

Rootsy got it.....

[ChromeGorilla]

Then you should be able to tell me the volume of the "shared space" that all three cylinders occupy as well......

[ChromeGorilla]

Nice job geek.......:biggrin: ;)

[Rootsy]

4/3*pi*R^3

[RedDog]

Rootsy got it.....

Rootsy's answer assumed each hole was through the center and therefore intersecting perfectly - based on the question, that is not a given.

http://www.rvt.com/~lucas/school/3hp.html

[ChromeGorilla]

All 3 cylinders are mutually perpendicular to each other.



Rootsy got my drift though...... Your right.... I could have said they were exactly centered in each face.

[ChromeGorilla]

Reddog...it's funny you post that link..... I was on that exact site a few days ago....... similar problem......


Here is another neat link talking about Steinmetz solids....

http://astronomy.swin.edu.au/~pbourke/geometry/cylinders/

[txtaz]

Here's another one:
What the average air speed velocity of an unladen swallow?
Da Taz

[onesubdrvr]

Here's another one:
What the average air speed velocity of an unladen swallow?
Da Taz
Would that be African or European??

:D

[ChromeGorilla]

Dammit....Wayne beat me to it!........ Oh yeah.....Whats your favorite color?

[txtaz]

Dammit....Wayne beat me to it!........ Oh yeah.....Whats your favorite color?
Yellow, No wait Blue....Ahhhhhhhhhh
Da Taz