- #1
Kqwert
- 160
- 3
Homework Statement
Peter has a spherical shaped water tank with radius R. At the top of the tank there's a small hole. Peter wants to know how much water there is left in the tank by measuring the distance L from the hole to the water surface.
Find an explicit form for the water volume V(L), 0 <= L <= 2R
Homework Equations
The Attempt at a Solution
So,
I considered the semi-circle
which I then rotated around the x-axis,
i.e.
But this yields the wrong answer, in the solution manual they have the following solution:
Why is my solution wrong? I am trying to do the exact same thing as the solution proposes, just different integration limits.