(Solved): Find the volume of a sphere of radius r, centered at the origin, by slicing. Give an equation repre ...

Find the volume of a sphere of radius $$r$$, centered at the origin, by slicing. Give an equation representing the volume of a slice, perpendicular to the $$x$$-axis, that you would use in a Riemann sum representing the volume of the region. Then write a definite integral representing the volume of the region and evaluate it exactly. Volume of slice $$?$$ The total volume over all slices is Volume of sphere $$=$$