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

#1**+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*r^{2}h- 3* 4*Pi*r^{3}/3

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

=Pi*r^{2}(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

#1**+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*r^{2}h- 3* 4*Pi*r^{3}/3

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

=Pi*r^{2}(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

#3**+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**+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.

hectictar
Mar 16, 2017

#5**+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......

CPhill
Mar 16, 2017