A hollow cone of radius $6\mathrm{cm}$ and height $8\mathrm{cm}$ is vertical standing at the origin, such that the vertex of the cone is at the origin. Some pipes are hanging around the circular base of the cone, such that they touch the surface of the graph paper. Then, the total surface area of the figure formed will be

If the radius and the height of a cylinder are $2 \mathrm{cm}$ and $14 \mathrm{cm}$, respectively. Then, find it's lateral surface area‌ (in ${\mathrm{cm}}^2$). $\left(\mathrm{\pi }=\frac{22}{7}\right)$

The diameter of the base of a right circular cone is $10 \mathrm{cm}$ and its slant height is $13 \mathrm{cm}$.

Calculate height of the cone (in $\mathrm{cm}$).

In the given figure, a hemisphere of radius $6 \mathrm{cm}$ surmounted by a right circular cone of base radius $6 \mathrm{cm}$ The height of the cone is $8 \mathrm{cm}$

If the total surface area of the solid is equal to $k c{m}^2$, then find the value of $k$. [Take $\mathrm{\pi }=3.14$]

The given figure represents a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other. Their common radius is $7 \mathrm{cm}$. The height of the cylinder and cone are each of $4 \mathrm{cm}$. Find the volume of the solid.