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A cylindrical can of tennis b***s holds a stack of three b***s so they they each touch the can at the top, bottom, and side. The radius of each ball is 1.25 inches. Find the volume inside the can that is not taken up but the three tennis b***s.

Scheeit.Mads  Mar 16, 2017

Best Answer 

 #1
avatar+11702 
+10

You know its almost 2 am and i just got off from studying "Heredity and Evilotion" In BIo and i just thought to come here while having my midnight snack, then i now see your question and even tho ive done so much math in this week, i still want to answer you.....

 

so , as  the ball are next to each other, its fig, would be like... 

 

so here the height of cylinder (h)= 1.25x3 =3.75 inches

radius or cylinder = radius of ball = r= 1.75inches

 

V left in can = V of (can - 3b***s)

=Pi*r2h- 3* 4*Pi*r3/3

 

Its always to take common, makes the calculation easier...

 

=Pi*r2(h - 3*4r/3)

=22/7 * (1.75)2 ( 3.75 - 12*1.75/3)

 

i guess you can do the rest yourself, 

 

just a tip: while solvinf such problem which have decimal quite a lot in them , its always better to take them in fraction , it makes the calculation easier and you are less prone to errors....

 

hope it helps.....

rosala  Mar 16, 2017
Sort: 

10+0 Answers

 #1
avatar+11702 
+10
Best Answer

You know its almost 2 am and i just got off from studying "Heredity and Evilotion" In BIo and i just thought to come here while having my midnight snack, then i now see your question and even tho ive done so much math in this week, i still want to answer you.....

 

so , as  the ball are next to each other, its fig, would be like... 

 

so here the height of cylinder (h)= 1.25x3 =3.75 inches

radius or cylinder = radius of ball = r= 1.75inches

 

V left in can = V of (can - 3b***s)

=Pi*r2h- 3* 4*Pi*r3/3

 

Its always to take common, makes the calculation easier...

 

=Pi*r2(h - 3*4r/3)

=22/7 * (1.75)2 ( 3.75 - 12*1.75/3)

 

i guess you can do the rest yourself, 

 

just a tip: while solvinf such problem which have decimal quite a lot in them , its always better to take them in fraction , it makes the calculation easier and you are less prone to errors....

 

hope it helps.....

rosala  Mar 16, 2017
 #2
avatar+4491 
+6

I drew a picture just for fun :)

hectictar  Mar 16, 2017
 #3
avatar+11702 
+5

you know i did post a pic of the fig, but it didnt display it...i just saw that now after remebering, thanks for the fig hectictar, how did you upload it?

rosala  Mar 16, 2017
 #4
avatar+4491 
+6

I just click the " Image " button, then click " upload ".

Then click " choose file ", then find the picture and select it, then click " UPLOAD NOW! "

Then " Click to Copy " then the green " OK " button in the bottom right.

 

Sometimes that doesn't work though and I have to go directly to tinypic.com and do it there.

Sometimes even that doesn't work and I just have to give up, haha.

smiley

hectictar  Mar 16, 2017
 #5
avatar+76195 
+5

Thanks rosala and nice pic, hectictar......!!!

 

BTW -  You're getting pretty good at his math stuff, rosala......I remember when you might have had trouble with this one......

 

 

cool cool cool

CPhill  Mar 16, 2017
 #6
avatar+76195 
+5

I forgot to ask, hectictar......how did you create that pic.....????

 

cool cool cool

CPhill  Mar 16, 2017
 #7
avatar+4491 
+6

I just made it using the very basic paint. It's pretty useful, especially if you know a few tricks like holding the "shift" key keeps the oval shape a circle shape, and holding shift makes straight vertical, horizontal, and diagonal lines. smiley

hectictar  Mar 16, 2017
 #10
avatar+11702 
+5

ofocourse CPhill, ive been working really hard you know and afterall, im in 10th grade now...so....

rosala  Mar 18, 2017
 #8
avatar+76195 
+5

Mmmmm.....that sounds like too much technology for me......LOL!!!

 

 

cool cool cool

CPhill  Mar 16, 2017
 #9
avatar+4491 
+6

Lol, I'm sure you can figure it out CPhill! laugh

If you can answer all these questions on here, you can definitely figure out how to use paint!

hectictar  Mar 16, 2017

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