A ball of radius 11 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

A ball of radius 11 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

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) :)

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

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
no
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!

Not the answer you are looking for?

Search for more explanations.

Ask your own question