A geyser (water boiler) is in the form of a cylinder with hemispherical ends. If the length of the cylinder is $56 \mathrm{cm}$ and the diameter of each end is $18 \mathrm{cm}$, find the capacity of the geyser in $\mathrm{litres}$.

A container is formed of a hollow cylinder fitted with a hemispherical bottom of radius $3 \mathrm{cm}$. The depth of the cylinder is $14 \mathrm{cm}$ and the diameter of the hemisphere is $6 \mathrm{cm}$. Find the volume and the internal surface area of the container.

A cylindrical container of radius $10 \mathrm{cm}$ and height $35 \mathrm{cm}$ is fixed co-axially inside another cylindrical container of radius $14 \mathrm{cm}$ and height $35 \mathrm{cm}$. The total space between the two containers is filled with cork for insulation purposes. Find the volume of the cork required.

A solid is in the shape of a hemisphere surmounted by a cone of the same radius. The diameter of the cone is $18 \mathrm{cm}$ and the height of the cone is $14 \mathrm{cm}$. The solid is completely immersed in a cylindrical tub, full of water. If the diameter of the tub is $26 \mathrm{cm}$ and its height is $21 \mathrm{cm}$, find the quantity of water left in the cylindrical tub in litres.

A solid toy is in the form of a cone surmounted on a hemisphere of the same radius. The height of the cone is $6 \mathrm{cm}$ and the radius of the base is $2.8 \mathrm{cm}$. If a cylinder circumscribes the solid, find how much more space it will Cover.

A right triangle, with legs $9 \mathrm{cm} \text{and} 12 \mathrm{cm}$, is made to revolve about its hypotenuse. Find the volume and the surface area of the double cone so formed.