The length of the diagonal of a cube is $6 \text{ cm}$. The volume of the cube (in $\text{cm}^3$) is (in $\sqrt{3}$)

$A$ circus tent is cylindrical to a height of $3\, m$ and conical above it. If its diameter is $105\, m$ and the slant height of the conical portion is $53\, m$,calculate the length of the canvas $5\, m$ wide required to make the tent. (in $m$)

$A$ tank $3\, m$ long,$2\, m$ wide and $1.5\, m$ deep is dug in a field $22\, m$ long and $14\, m$ wide. If the earth dug out is evenly spread out over the field,the level of the field will rise by nearly (in $cm$)

Find the curved surface area (in $cm^{2}$) of a hemisphere of diameter $28\, cm$.

The radius of a cylinder is half its height and the curved surface area is $616 \, cm^{2}$. Approximately how many litres of milk can it contain?

The perpendicular height of a conical tent is $4 \frac{2}{3} \text{ m}$ and the diameter of its base is $6 \text{ m}$. If $11$ persons can sleep in this tent,find how many average cubic meters $(m^3)$ of air each person gets?