Geometry Questions

What is the total surface area of a cone whose radius is $\frac{r}{4}$ and slant height is $4l$?

In $\Delta ABC$, $AD$ is the internal bisector of $\angle A$, which meets side $BC$ at $D$. If $BD=5\text{cm}$ and $BC=7.5\text{cm}$, then what is the ratio $AB:AC$?

In $\Delta ABC$, $P$ is a point on $AB$ such that $PB:AP=3:4$ and $PQ$ is parallel to $AC$ (where $Q$ lies on $BC$). If $AR$ and $QS$ are perpendicular to $PC$ and $QS=9\text{cm}$, then what is the length of $AR$ (in $\text{cm}$)?

How many meters of cloth will be required to make a conical tent whose base radius is $21\text{ meters}$ and height is $28\text{ meters}$? The width of the cloth is $5\text{ meters}$. (Take $\pi =\frac{22}{7}$)