# Sphere in Swimming Pool

Find The net upward Force exerted by the liquid of an Swimming Pool on the uniform sphere on bottom half sphere. Neglect atmospheric pressure . If Radius of sphere is 'R' and it is at the depth 'h' from the upper upper surface of swimming pool. And density of liquid is $$\rho$$ It can be Express as : $${ F }_{ upward }\quad =\quad \cfrac { a }{ b } \pi \rho g{ R }^{ c }$$

Find a + b + c

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