A giraffe's weight varies directly with the cube of the animal's height. An adult giraffe is $5 \mathrm{m}$ tall and weighs $1.1$ metric tonnes. Find the weight of a $2 \mathrm{m}$ tall baby giraffe. 

During free-fall, the distance an object falls is directly proportional to the square of the time spent falling. An object falls $40.8 \mathrm{m}$ in $20 s$. Find how far it falls in $1$ minute.

The shutter speed of a camera varies inversely with the square of the aperture setting. When the aperture setting is $8$, the shutter speed is $125$. Find the shutter speed when the aperture setting is $4$.

The volume of a cylinder is given by the formula $V=\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height of the cylinder. If the cylinder has a fixed height, write down the variation function between $V$ and $r$. Hence, write down the proportionality constant in this case.

The volume of a cylinder is given by the formula $V=\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height of the cylinder. If the cylinder has a fixed radius, write down the variation function between $V$ and $h$. Hence, write down the proportionality constant in this case.