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 ......... $\text{m}$.

The radius of the base of a conical tent is $5 \, m$. If the tent is $12 \, m$ high,then the area of the canvas required to make the tent is (in $\pi \, m^2$)

The diameter and slant height of a conical tomb are $28\, m$ and $50\, m$,respectively. The cost of whitewashing its curved surface at the rate of $80$ paise per $m^2$ is (in $Rs.$):

$A$ conical vessel of base radius $2 \ cm$ and height $3 \ cm$ is filled with kerosene. This liquid leaks through a hole in the bottom and collects in a cylindrical jar of radius $2 \ cm$. The kerosene level in the jar is.....$cm$

$A$ spherical aquarium can accommodate $11$ fishes,and each fish requires $1.54 \, m^3$ of water. What is the volume of the aquarium? (in $m^3$)

$A$ sphere is cut into two hemispheres. One of them is used as a bowl. It takes $8$ bowlfuls of this to fill a conical vessel of height $12\, cm$ and radius $6\, cm$. The radius of the sphere (in centimeter) will be