Asked by Amy
Show that a right-circular cylinder of greatest volume that can be inscribed in a right-circular cone that has a volume that is 4/9 the volume of the cone.
Please, help out, this is for a study guide for a quiz. :) Thank you.
Please, help out, this is for a study guide for a quiz. :) Thank you.
Answers
Answered by
Reiny
Amy, take a look at the solution I gave to the first of the "Related Questions" below.
It is the same kind of question except it has specific values.
Instead of a height of 12 and a radius of 4 for the cone, in your question you would have a height of H and a radius of R, where H and R are constants, that is, they are fixed values.
See if you can follow the same steps, then take the volume of the cone and the volume of the cylinder.
They should be in the ratio of 4:9
Get back to me if you run into problems, but give it a try.
It is the same kind of question except it has specific values.
Instead of a height of 12 and a radius of 4 for the cone, in your question you would have a height of H and a radius of R, where H and R are constants, that is, they are fixed values.
See if you can follow the same steps, then take the volume of the cone and the volume of the cylinder.
They should be in the ratio of 4:9
Get back to me if you run into problems, but give it a try.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.