A metal sphere whose diameter is 150cm is lowered into the vessel till it rests on the base. Calculate, in terms of pi, the volume of water which overflows in cubic metres. The vessel has height and diameter of 2m, is a cylinder without a lid and stands horizontally, containing water to a depth of 150cm

1 answer

No water escapes.

Even if the sphere were a cylindrical plug with diameter of 2m and a height of 150cm, it would only raise the water level by 150 cm, leaving it well below the top of the cylinder, at 2m high.

Is there a typo? (I mean, aside from something which stands "horizontally".)