Right Circular Cone

The diagram shows a cone of height $24 \mathrm{cm}$ and diameter of its base is $14 \mathrm{cm}$. Its total surface area is _____ ${\mathrm{cm}}^2$.

Curved surface area of a cone is $308 \mathrm{c}{\mathrm{m}}^2$ and its slant height is $14 \mathrm{c}\mathrm{m}.$ If the radius of the base is $k \mathrm{cm}$, then find the value of $k$. $\left(\mathrm{\pi }=\frac{22}{7}\right)$

Find the value of $a$ if the volume $\left(\mathrm{in} {\mathrm{cm}}^3\right)$ of the right circular cone with radius $3.5 \mathrm{cm}$, height $12 \mathrm{cm}$ is given by $a {\mathrm{cm}}^3$. (Assume $\mathrm{\pi }=\frac{22}{7}$)

Find the volume $\left(\mathrm{in} {\mathrm{cm}}^3\right)$ of the right circular cone with radius $6 \mathrm{cm}$, height $7 \mathrm{cm}$. (Assume $\mathrm{\pi }=\frac{22}{7}$)

Total surface area of a cone is $616$ sq.cm. If the slant height of the cone is three times the radius of its base, find its slant height.