Two right circular cones $x$ and $y$ are made. $x$ having three times the radius of $y$ and $y$ having half the volume of $x\mathit{.}$ Calculate the ratio between the height of $x$ and $y\mathit{.}$

The total surface area of a right circular cone of slant height $13\mathrm{cm}$ is $90{\mathrm{\pi cm}}^2.$ Calculate its radius in $\mathrm{cm}$.

The total surface area of a right circular cone of slant height $13\mathrm{cm}$ is $90{\mathrm{\pi cm}}^2.$ Calculate its volume in ${\mathrm{cm}}^3.$[take $\mathrm{\pi }=3.14$]