From a solid cylinder of height $30 \mathrm{cm}$ and radius $7 \mathrm{cm}$, a conical cavity of height $24 \mathrm{cm}$ and of base radius $7 \mathrm{cm}$ is drilled out. Find the volume and the total surface of the remaining solid.

The adjoining figure shows a hemisphere of radius $5 \mathrm{cm}$ surmounted by a right circular cone of base radius $5 \mathrm{cm}$. Find the volume of the solid if the height of the cone is $7 \mathrm{cm}$. Give your answer correct to two places of decimal.

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 $\pi {\mathrm{m}}^2$.