In a sand casting process, a sprue of $$10mm$$ base diameter and $$250mm$$ height leads to a runner which fills a cubical mold cavity of $$100mm$$ size.

The volume flow rate (in $$m{m^3}/s$$) is

Match the following

A casting of size $$400mm \times 200mm \times 140mm$$ solidifies in $$20min.$$ The solidification time for a casting $$400mm \times 200mm \times 35mm$$ under similar conditions is

A cast steel slab of dimension $$30 \times 20 \times 5\,\,cm$$ is poured horizontally using a side riser. The riser is cylindrical in shape with diameter and height, both equal to $$D.$$ The freezing ratio of the moulds is