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Original Question
A ball of radius 10 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid.Asked by Jess
A ball of radius 13 has a round hole of radius 7 drilled through its center.
Find the volume of the resulting solid.
Find the volume of the resulting solid.
Answers
Answered by
oobleck
a sphere of radius R with a hole of radius r has volume
V = 4π/3 (R^2 - r^2)^(3/2)
a web search will easily provide the integration, done most simply with spherical coordinates. Come back if you get stuck.
V = 4π/3 (R^2 - r^2)^(3/2)
a web search will easily provide the integration, done most simply with spherical coordinates. Come back if you get stuck.
Answered by
mathhelper
Here is such a video, all you have to do is change the constants.
you tube. com/watch?v=mQFcq3qn8CU&ab_channel=JimFowler
(delete the space after "you" and in front of "com" which I inserted to fool the algorithm that prevents us to post links)
you tube. com/watch?v=mQFcq3qn8CU&ab_channel=JimFowler
(delete the space after "you" and in front of "com" which I inserted to fool the algorithm that prevents us to post links)
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