$A$ $3.3\, m$ high room is half as long again as it is wide and its volume is $123 \frac{3}{4}\, m^3$. Find its length and breadth.

The length of canvas $75 \, cm$ wide required to build a conical tent of height $14 \, m$ and the floor area $346.5 \, m^{2}$ is.........$m$

If $210\, m^{3}$ of sand is thrown into a tank $12\, m$ long and $5\, m$ wide,find how much the water level will rise? (in $m$)

$A$ rectangular tin sheet is $12 \, cm$ long and $5 \, cm$ broad. It is rolled along its length to form a cylinder by making the opposite edges just touch each other. Then the volume of the cylinder is

The total surface area of a hemisphere is $41.58 \text{ cm}^2$. Find its curved surface area (in $\text{cm}^2$).

The base of a $10\, cm$ high solid cylinder is a semi-circle of radius $7\, cm$. Its total surface area (in $cm^2$) is (Use $\pi = \frac{22}{7}$)