A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is $7 \mathrm{mm}$ and the diameter of the graphite is$1 \mathrm{mm}$. If the length of the pencil is $14\mathrm{cm}$, find the volume of the wood and that of the graphite.

If radius and height of a right circular cone be $3 \mathrm{cm} \mathrm{and} 21 \mathrm{cm}$, respectively, then find its- Slant height (in $\mathrm{cm}$ ).

If radius and height of a right circular cone be $3 \mathrm{cm} \mathrm{and} 21 \mathrm{cm}$, respectively, then find its Curved surface area (in ${\mathrm{cm}}^2$ ).

If radius and height of a right circular cone be $3 \mathrm{cm} \mathrm{and} 21 \mathrm{cm}$, respectively, then find its Total surface area (in ${\mathrm{cm}}^2$ ) .

If radius and height of a right circular cone be $3 \mathrm{cm} \mathrm{and} 21 \mathrm{cm}$, respectively, then find its volume (in ${\mathrm{cm}}^3$ ).

The diameter of the base of a cone is $10.5 \mathrm{cm}$and its slant height is $10 \mathrm{cm}$. Find the curved surface area ( in ${\mathrm{cm}}^2$ ) of the cone.

Diameter of the base of a cone is $10.5\mathrm{cm}$and its slant height is $10 \mathrm{cm}$. Find the total surface area ( in ${\mathrm{cm}}^2$ ) of the cone.

The radius of the base of a cone is $7\mathrm{cm}$ and its vertical height is $15 \mathrm{cm}$. Find the curved surface area (in ${\mathrm{cm}}^2$ ) of a cone(express the answer upto one decimal place).