In the given figure, A sector of a circle of radius 9 cm and central angle of 120°. It is rolled up so that the two bounding radii are joined together to form a cone. Find the radius of the base of the cone.

 

 

In the given figure, A sector of a circle of radius 9 cm and central angle of 120°. It is rolled up so that the two bounding radii are joined together to form a cone. If the volume of the cone is $k {\mathrm{cm}}^3$. find $k$.

In the given figure, A sector of a circle of radius 9 cm and central angle of 120°. It is rolled up so that the two bounding radii are joined together to form a cone. If the total surface area of the cone is $k {\mathrm{cm}}^3$. find $k$.

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see figure). The length of the entire capsule is $14 \mathrm{mm}$ and the diameter of the capsule is $5 \mathrm{mm}$. If the surface area of the figure is equal to $k m{m}^2$, then find the value of $k$. [Take$\mathrm{\pi }$  = 22/7]