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Find the volume of the ball and then subtract the volume of the hole.
that is what i have been trying. a ball is a sphere so v= 4/3r^3 and the hole is a cylinder pi*r^2*h but what is h the height it isnt the diameter of the sphere
The height is the the radius of the ball times 2 (Diameter) :)
a cylindrical hole would be slightly shorter than the diameter of the sphere the thing is idk how to find that
If you are going to picture this out in your mind, or better yet, get a pen and paper and draw it.. You will find out that it is the height of sphere. Operative word is "center of the ball".
i did do that and i believe it was the diameter, but after some rethinking, as well as the answer being wrong i saw a different picture. Imagine a sphere. it is round obviously if you drill a hole threw it the the whole will be a cylinder. Cylinders have flat bases. A flat base would mean it cuts off before the end of the sphere. if the height was the diameter it would mean that the base is curved
afs brings a good point did you learn triple/double integrals yet? i believe that that is the only way to get the answer
Oh yeah! Figured that one out thanks for the clear description. @_@
We are at area between curves and volume between curves. i kind of know how to do those, but this, which is one of them, doesn't give all the info, all i need is the height and im good but dont know the height. :( @ mcometa :D
i think you can do this using what you do do you know the washer method yet?
i zoned out for that one, im using the shell method, but i dont know how exactly to apply it to this
ehh...i'm not sure what the shell method is LOL but the washer method is bascially integral curve1-curve2
Are you doing this in polar? or spherical?
And is this calc 3 or calc 2
so now imagine your cylinder and sphere on the xy plane ONLY the xy plane you'll see a circle and a rectangle curve1 will be the circle and curve2 will be the rectangle apply washer. this should work.
so the equation for the volume of a sphere - the volume of a cylinder? and @ polpak ? oh and calc 2
did what i just wrote make any sense?
lol i typed that before reading urs and yes it did i'll go ahead and try that ty :D
okay good luck rotate about y axis! cheers!