A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base

[banhvantun]

Please help me with this!
Cylinder Tilted Volume

"A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base.

Determine a way to "slice" the water into parallel cross-sections that are trapezoids and then set up a definite integral for the volume of the water."

Can you please provide a solution to this problem? and if possible a diagram of your cross sections and computations ? Thanks

 

[stapel]

"A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base.

Determine a way to "slice" the water into parallel cross-sections that are trapezoids and then set up a definite integral for the volume of the water."

Can you please provide a solution to this problem? and if possible a diagram of your cross sections and computations ? Thanks

I'm sorry but, as you learned when you read the "Read Before Posting" message, we don't do students' homework for them.

Please reply with a clear listing of your thoughts and efforts so far. Once we have that information, the helpers can begin to work with you. Thank you!

 

[Dr.Peterson]

Please help me with this!
Cylinder Tilted Volume

"A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base.

Determine a way to "slice" the water into parallel cross-sections that are trapezoids and then set up a definite integral for the volume of the water."

Can you please provide a solution to this problem? and if possible a diagram of your cross sections and computations ? Thanks

It will help if you show us any thinking at all, so we can see if you understand the meaning of the problem. Even a wrong sketch can help.

Also, if you understand what this will look like, then there is a very easy way to find the volume of water without any calculus. You might do that first, in order to have an answer you can check.