Balls A and B of equal mass are floating in a swimming pool, as shown below. Which will produce a greater buoyant force?
a. Ball A
b. Ball B
c. Force will be equal
d. Impossible to determine without knowing the volume of each ball
In the picture given, it is clear that ball A has a greater volume than B.
The Attempt at a Solution
I attempted this problem in 2 ways and got 2 different answers (A and C)
How I got Answer A:
Ball A has larger volume so it is clear that the buoyant force is greater
How I got Answer C:
If the balls are floating, then
Since both balls have the same mass, it follows that they must generate the same buoyant force since both are floating and have the same weight.
The correct answer is A.
Please help me out. I don't understand why my second approach is flawed. Thanks in advance