Help differential problem (application)

the maximum volume enclosed by circular cylinder inscribed in a sphere equal to n times the volume of the sphere, find the value of n

how to solve this??

i know using the pyth theorem , the square of radius of cylinder + 1/2 square of the height of the cylinder is equal to square of the sphere's radius

i also list two volume equations

but how to do the next step???

because there are two variable, it seems cannot be reduced to only 1 variables

HELP!!!

Re: Help differential problem (application)

Quote:

Originally Posted by

**oponion** the maximum volume enclosed by circular cylinder inscribed in a sphere equal to n times the volume of the sphere, find the value of n

I don't know what you mean here. First there should be a

**verb** in the first clause. If you meant the volume of the cylinder

**is** "equal to n times the volume of the sphere", that's impossible. The volume of a cylinder

**inscribed** in a sphere must be

**less** than then volume of the sphere, not "n times the volume".

Quote:

how to solve this??

i know using the pyth theorem , the square of radius of cylinder + 1/2 square of the height of the cylinder is equal to square of the sphere's radius

i also list two volume equations

but how to do the next step???

because there are two variable, it seems cannot be reduced to only 1 variables

HELP!!!

Re: Help differential problem (application)

Quote:

Originally Posted by

**HallsofIvy** I don't know what you mean here. First there should be a **verb** in the first clause. If you meant the volume of the cylinder **is** "equal to n times the volume of the sphere", that's impossible. The volume of a cylinder **inscribed** in a sphere must be **less** than then volume of the sphere, not "n times the volume".

Couldn't you have n be a fraction?

Re: Help differential problem (application)

sorry, i missed some verbs

the problem is the maximum volume enclosed by a circular cylinder inscribed in a sphere equals n times the volume of the sphere. find k

yes...n can be any real number

Re: Help differential problem (application)