A solid sphere of radius Xcm is placed in a cylinder of radius 2Xcm and height 2Xcm. The cylinder is then filled with water to the brim and the solid gently withdrawn. Find d volume of d water in d cylinder in cm3

1 answer

I assume you know how to find the volumes of such solids. Just subtract the volume of the sphere from that of the cylinder. The leftover space holds the water:

π(2x)^2*(2x) - 4/3 πx^3