The volume of a cone is $9504\,cm^{3}$ and its radius is $18\,cm$. Then,its height is $\ldots\,cm$.

$A$ solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is $2 \, cm$ and the diameter of the base is $4 \, cm$. Determine the volume of the toy. If a right circular cylinder circumscribes the toy,find the difference of the volumes of the cylinder and the toy. (in $cm^3$) (Take $\pi = 3.14$)

$A$ cylindrical bucket of height $32 \,cm$ and base radius $18 \,cm$ is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is $24 \,cm$,find the radius and slant height of the heap.

How many spherical lead shots of diameter $4 \,cm$ can be made out of a solid cube of lead whose edge measures $44 \,cm$?

Write 'True' or 'False' and justify your answer:
$A$ solid ball is exactly fitted inside a cubical box of side $a$. The volume of the ball is $\frac{4}{3} \pi a^{3}$.

$1 \text{ litre} = \dots \text{ cm}^3$