A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are $5 \mathrm{cm}$ and $13 \mathrm{cm}$ respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the toy is $30 \mathrm{cm}.$ $(\text{ Use }\pi =3.14)$

A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is $20 \mathrm{m}.$ The heights of the cylindrical and conical portions are $4.2 \mathrm{m}$ and $2.1 \mathrm{m}$, respectively. Find the volume of the tent. $(\mathrm{Take} \mathrm{\pi }=22 / 7 )$

A petrol tank is a cylinder of base diameter $21 \mathrm{cm}$ and length $18 \mathrm{cm}$ fitted with conical ends each of axis length $9 \mathrm{cm}.$ Determine the capacity of the tank. $(\mathrm{Take} \mathrm{\pi }=22 / 7 )$

A conical hole is drilled in a circular cylinder of height $12 \mathrm{cm}$ and base radius $5 \mathrm{cm}.$ The height and the base radius of the cone are also the same. Find the whole surface area and volume of the remaining cylinder in terms of $\mathrm{\pi }$.

A boiler is in the form of a cylinder $2 \mathrm{m}$ long with hemispherical ends each of $2$ meter diameter. Find the volume of the boiler. $(\mathrm{Take} \mathrm{\pi }=22 / 7 )$

A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is  $\frac{14}{3}$ $\mathrm{m}$ and the diameter of hemisphere is $3.5 \mathrm{m}$. Calculate the volume and the internal surface area of the solid. $(\mathrm{Take} \mathrm{\pi }=3.14)$

A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is $104 \mathrm{cm}$ and the radius of each of the hemispherical ends is $7 \mathrm{cm}$. Find the cost of polishing its surface at the rate of $₹10 \mathrm{per} {\text{dm}}^2.$ $(\mathrm{Take} \mathrm{\pi }=3.14)$