A tent consists of a frustum of a cone capped by a cone. If the radii of the ends of the frustum be $16 \mathrm{metres}$ and $10 \mathrm{metres}$, the height of the frustum $8 \mathrm{metres}$ and the slant height of the conical cap $12 \mathrm{metres}$, find the number of $\mathrm{square} \mathrm{metres}$ of canvas required for the tent.

Hanumappa and his wife Gangavva are busy making jaggery out of sugarcane. They have processed the sugarcane juice to make the molasses which is poured into moulds. It will be cooled to solidify in this shape to be sent to the market. Each mould is in the shape of a frustum of a cone having the radii of its two circular faces as $30 \mathrm{cm}$ and $35 \mathrm{cm}$ and the height of the mould is $14 \mathrm{cm}$. If each ${\mathrm{cm}}^3$ of molasses weighs about $1.2 \mathrm{gm}$, find the weight of molasses that can be poured into each mould.

A shuttlecock used for playing badminton has the shape of a frustum of a cone mounted on a hemisphere. The external diameter of the frustum are $5 \mathrm{cm}$ and $2 \mathrm{cm}$, the height of the entire shuttlecock is $7 \mathrm{cm}$. Find its external surface area.