$A$ school room is to be built to accommodate $70$ children,so as to allow $2.2\, m^2$ of floor area and $11\, m^3$ of space for each child. If the room is $14\, m$ long,what must be its breadth and height?

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

The circumference of the base of a $9\, m$ high conical tent is $44\, m$. The volume of the air contained in it is.........$m^3$

If $64$ buckets of water are removed from a cubical-shaped water tank completely filled with water, $1/3$ of the tank remains filled with water. The length of each side of the tank is $1.2\, m$. Assuming that all buckets are of the same measure, then the volume (in $litres$) of water contained by each bucket is:

Calculate the number of bricks,each measuring $25 \, cm \times 15 \, cm \times 8 \, cm$,required to construct a wall with dimensions $19 \, m \times 4 \, m \times 5 \, m$,when $10 \%$ of its volume is occupied by mortar.

The curved surface area of a cylindrical well is $264 \, m^2$ and its volume is $924 \, m^3$. What are the diameter and the depth of the well? (in $m$)