The base of a right pyramid is a square,and the length of the diagonal of the base is $24 \sqrt{2} \text{ m}$. If the volume of the pyramid is $1728 \text{ m}^3$,its height is ......... $\text{m}$.

From a solid right circular cylinder with height $10 \ cm$ and radius of the base $6 \ cm$,a right circular cone of the same height and base is removed. The volume (in $cm^3$) of the remaining solid is

If the volume of a sphere is numerically equal to its surface area,then its diameter is ......... $cm$.

$A$ solid right circular cone of radius $4\, cm$ and height $7\, cm$ is placed inside a cylindrical vessel of radius $5\, cm$ and height $8\, cm$. How much water (in $cm^3$) will be required to fill the cylindrical vessel completely?

$A$ right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is $343 \, c.c.$,then what approximately is the volume of the cone? (in $c.c.$)

$A$ hemisphere and a cone have equal bases. If their heights are also equal,the ratio of their curved surfaces will be