A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and the height of the cylinder are $6 \mathrm{cm}$ and $12 \mathrm{cm}$ respectively. If the slant height of the conical porticn is $5 \mathrm{cm}$, find the total surface area and the volume of the rocket.
(Use $\pi =3·14$)

The adjoining 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 the cone are each of $4 \mathrm{cm}$. Find the volume of the solid.

The adjoining figure shows a model of a solid consisting of a cylinder surmounted by a hemisphere at one end. If the model is drawn to a scale of $1:200$, find the total surface area of the solid in $\pi {\mathrm{m}}^2$.

The adjoining figure shows a model of a solid consisting of a cylinder surmounted by a hemisphere at one end. If the model is drawn to a scale of $1:200$, find the volume of the solid in $\pi$ litres.

The diameter of a metallic sphere is $6 \mathrm{cm}$. The sphere is melted and drawn into a wire of uniform circular cross-section. if the length of the wire is $36 m$, find its radius.

A solid metallic sphere of radius $6 cm$ is melted and made into a solid cylinder of height $32 cm$. Find the curved surface area of the cylinder. (Take $\pi =3.1$)